Consider the sugar-water phase diagram of Figure 9.1. (a) How much sugar will dissolve in 1000 g of water at 80°C (176°F)? (b) If the saturated liquid solution in part (a) is cooled to 20°C (68°F), some of the sugar precipi- tates as a solid. What will be the composition of the saturated liquid solution (in wt% sugar) at 20°C? (c) How much of the solid sugar will come out of solution upon cooling to 20°C?

Answers

Answer 1

The difference between these two values will give us the mass of solid sugar that came out of solution upon cooling to 20°C.

(a) To determine how much sugar will dissolve in 1000 g of water at 80°C, we need to find the point on the sugar-water phase diagram that corresponds to these conditions. At this point, the curve separating the liquid and solid phases (called the solubility curve) indicates the maximum amount of sugar that can be dissolved in the water at that temperature.

Once we have identified this point, we can read off the corresponding sugar concentration in the liquid phase. This will give us the maximum amount of sugar that can be dissolved in 1000 g of water at 80°C.

(b) When the saturated liquid solution in part (a) is cooled to 20°C, some of the sugar will precipitate as a solid. This means that the composition of the remaining liquid phase will be different from its composition at 80°C.

To determine the new composition, we need to find the point on the phase diagram that corresponds to 20°C and the sugar concentration we found in part (a). This point will lie on the solubility curve, which separates the liquid and solid phases at 20°C.

Once we have identified this point, we can read off the corresponding sugar concentration in the liquid phase. This will give us the composition of the saturated liquid solution at 20°C.

(c) The amount of solid sugar that comes out of solution upon cooling to 20°C can be calculated using the mass balance equation:

mass of solid sugar + mass of dissolved sugar = total mass of sugar

At 80°C, we found the maximum amount of sugar that can be dissolved in 1000 g of water. We can use this value to calculate the mass of dissolved sugar at 80°C. Then, at 20°C, we can use the composition we found in part (b) to calculate the mass of dissolved sugar in the saturated liquid solution.

The difference between these two values will give us the mass of solid sugar that came out of solution upon cooling to 20°C.

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Related Questions

Teresa tiene 12 años , su hermano pere tiene 7 y su padre 44. QUANTOS AÑOS TIENE Q PASAR PARA Q LA SUMA DE LAS EDADES DE TERESA Y SPERE SEAN IGUALES

Answers

Answer:

Tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

Step-by-step explanation:

Dado que Teresa tiene 12 años, su hermano Pere tiene 7 y su padre 44, para determinar cuántos años tienen que pasar para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre se debe realizar el siguiente cálculo:

12 + 7 = 19

44 - 19 = 25

44 + 25 = 69

(12 + 25) + (7 + 25) = 37 + 32 = 69

Por lo tanto, tienen que pasar 25 años para que la suma de las edades de Teresa y Pere sean iguales a la edad de su padre.

Find the solution of the systems of equations 9x-2y=-50 -3x+7y=4

Answers

To solve the given systems of equations we get x is -6 and y is -2.

How do you find the solution to the system of equations ?

The substitution method can be used to solve a system of linear equations. This method works by solving one of the linear equations for one of the variables, then substituting that value into the second linear equation and solving for the other variable.

9x-2y=-50 -----------------------(1)

-3x+7y=4 ----------------------------(2)

Multiply Eq (2) with 3

Then,

-9x + 21y = 12--------------(3)

Eq (1) + Eq (3)

9x - 2y   =-50   +

-9x + 21y = 12

____________

         19y = -38

y = -38/19

y = -2

put y = -2 in Eq (2)

-3x+7(-2)=4

-3x -14 = 4

-3x = 18

x = 18/-3 =-6

x = -6  and y= -2.

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PLZ HELP ME I BEG UUUUU

PLZ HELP ME I BEG UUUUU

Answers

Answer:

43.96

Step-by-step explanation:

14 x 3.14 = 43.96

7 is the radius but 14 is the like line and to find it you add 7 plus 7 (aka the other half) and multiply it by 3.14 thus the answer is

43.96

Answer:

B

Step-by-step explanation:

C = d x pi

Since the radius is half of the diameter, we have to multiply 7 and 2 which would give us 14. After that, we multiply 14 and 3.14 which gives us 43.96 in.

A study on the average minutes spent by students on internet usage is 300 with a standard deviation of 102. Answer the following questions assuming a bell-shaped distribution and using the empirical rule. What percentage of students use the internet for more than 402 minutes?.

Answers

The percentage of students that use the internet for more than 402 minutes =  16%

Percentage

Percentage, often referred to as percent, is a fraction of 100. Percentage means "per 100," and denotes part a total amount. For example, 45% represents 45 out of 100.

calculate the percentage-

The empirical rule states that

68% of the population lies within 1 standard deviation of the mean

95% of the population lies within 2 standard deviations of the mean

99.7% of the population lies within 3 standard deviations of the mean

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

The percentage will be illustrated in this:

P(X > 402) = P(X > 30 + 1 × 102)

= (1-0.68) / 2

= 0.32/2

= 16%

The percentage of students that use the internet for more than 402 minutes =  16%.

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Can someone please help me answer this??

Can someone please help me answer this??

Answers

Answer:  x = (y-2)^2 + 5

In other words, y-2 goes in the first box and 5 goes in the second box.

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9  = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (y-2)^2 + 5  .... apply the perfect square factoring rule

So we'll have y-2 go in the first box and 5 goes in the second box

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

the top answer is correct might just want to tell you that

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
(If you know the answer but you can't answer it put the answer in the comments pls asap)

Answers

Answer:

I'm sorry for taking an answer but what's  the question? If you tell me the question in the comments I'd be happy to answer : )

Is {(-4, 5), (1,-1), (2,-2)} represent a function

Answers

Answer:

it is a function

Step-by-step explanation:

Answer:

Since there is one value of y for every value of x in ( − 4, 5 ), ( 1, − 1 ), ( 2, − 2), this relation is a function.

The relation is a function.

Hope this helps (●'◡'●)

help help help help help i suck at math

help help help help help i suck at math

Answers

Answer: D

Step-by-step explanation:

Question 8
Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the
water level will continue to go down for the next 5 years at a rate of 0.4 feet per year. What rational number
represents the overall change of the water level after 7.5 years?
А
-2.75 feet
B
0.1 foot
..ll Ezekiel Porter
С
-0.7 foot
D
2.75 feet
©2021 Illuminate Education Inc.

Answers

Answer:

b answer is correct answer

The sum of two numbers is 45. Their difference is 11.
What is the smaller number?

Answers

Answer:

x=28, y=17

Step-by-step explanation:

x+y=45

x-y=11

x=28, y=17

28+17=45

28-17=11

Answer:

Let the numbers be a and b

Given that  

a+b=45 ....(1)

a−b=11 ....(2)

Adding these two equations, we get

2a=56

⇒a=28

Substituting value of a in equation (1), we get

28+b=45

⇒b=45−28

⇒b=17

We get a=28 and b=17

Find the exact area of the circle
Write your answer in terms of pi

Find the exact area of the circle Write your answer in terms of pi

Answers

Answer:

196π (square metres)

Step-by-step explanation:

area of circle = π r²

= π (14)²

= 196π (square metres)

In calculating the _____________(estimated standard error M1 - M2, pooled variance), you typically first need to calculate the ____________(estimated standard error M1 - M2, pooled variance). The ________________(estimated standard error M1 - M2, pooled variance) is the value used in the denominator of the t statistic for the independent-measures t tests.

Answers

Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂

and Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂

What is the standard deviation?

When comparing a population mean to a sample mean, the standard error of the mean, or simply standard error, shows how dissimilar the two are likely to be. It informs you of the degree to which the sample mean would fluctuate if the research were to be repeated with fresh samples drawn from the same population.

Standard error with equal n = S(m1 - m2 ) = √S₁²/n₁ + S₂²/n₂

Standard error with unequal n = S(m1 - m2 ) = √Sp²/n₁ + Sp²/n₂

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The complete question is -

In calculating the _____________(estimated standard error M1 - M2, pooled variance), you typically first need to calculate the ____________(estimated standard error M1 - M2, pooled variance). The ________________(estimated standard error M1 - M2, pooled variance) is the value used in the denominator of the t statistic for the independent-measures t tests.

please help pls pls help pls belp

please help pls pls help pls belp

Answers

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

When searching within the list
Lewis, Maurice, Nathan, Oliver, Pat, Quincy, Roger, Stan, Tom
which of the following entries will be found most quickly using the binary search algorithm?
A. Lewis B. Pat C. Tom

Answers

The binary search algorithm is most effective when the list is sorted. In this case, since the list of names is not sorted, the binary search algorithm may not be the most efficient method for finding entries. However, if we assume the list is sorted, the entry "Lewis" would be found most quickly using the binary search algorithm.

The binary search algorithm is a divide-and-conquer approach that efficiently searches for a specific value in a sorted list. It works by repeatedly dividing the search interval in half until the desired value is found.

However, in the given list of names, the names are not sorted alphabetically. Therefore, the binary search algorithm may not be the optimal choice for finding entries quickly. To utilize the binary search algorithm effectively, the list of names would need to be sorted in alphabetical order.

Assuming the list is sorted, the binary search algorithm starts by comparing the target value with the middle element of the sorted list. If the target value is equal to the middle element, the search is successful. If the target value is less than the middle element, the search continues in the lower half of the list, and if it is greater, the search continues in the upper half. This process is repeated until the target value is found.

In the given list, "Lewis" would be found most quickly using the binary search algorithm if the list were sorted in alphabetical order. However, without sorting the list, the binary search algorithm may not be the most efficient method for finding entries.

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A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play
area A, and the length must be 2 feet longer than three times its own width. In
addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement
describes the number and viability of the system's solutions?
ОА.
The system has two solutions, but only one is viable because the other results in a negative width.
B.
The system has only one solution, and it is viable because it results in a positive width.
c. The system has two solutions, and both are viable because they result in positive widths.
d. The system has only one solution, but it is not viable because it results in a negative width.

NEED THE ANSWER ASAP

Answers

Answer:

A.

Step-by-step explanation:

I took the test on Edmentum/Plato and that was the answer.

Answer:

A. The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

A school is planning to construct two rectangular play areas in the playground.The length of play area

Three friends Alison Beth and Cat are standing for school captain. The probability of Alison get elected is 3/8. The probability that Alison or Cat elected is 7/10.Who is most likely to get elected?

Answers

Answer:

Alison is most likely to get elected

Step-by-step explanation:

Three friends Alison Beth and Cat are standing for school captain. The probability of Alison get elected is 3/8. The probability that Alison or Cat elected is 7/10.Who is most likely to get elected?

The formula is given as:

p(A or C) = p(A) + p(C)

Where

A = Allison

C = Cat

Step 1

Finding the probability of Cat been elected

Hence,

7/10 = 3/8 + P(C)

P(C) = 7/10 - 3/8

Lowest Common Denominator = 40

P(C) = 13/40

Step 2

Converting both probabilities to decimals

P(A) = 3/8 = 0.375

P(C) = 13/40 = 0.325

Alison has the highest likely probability of getting elected

Kirsty is making a fruit drink for 9 people. How many oranges does she use?

Answers

Answer:

9

Step-by-step explanation:

Kristy uses 9 oranges.

Find the general solution of the given differential equation.
(x + 1) dy/dx + (x + 2)y = 2xe^-x
y=

Answers

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

How to solve the given differential equation (DE)?

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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GUYS PLZ HELP ME!!!!!!

GUYS PLZ HELP ME!!!!!!

Answers

Answer:

B E F G

Step-by-step explanation:

Polygons are 2 dimensional shapes with straight edges (no curved edges). The shape needs to be closed up entirely to be a polygon. It cannot have any intersecting line segments

A can't be a polygon because the shape isn't closed up entirely

C can't be a polygon because it is a 3d shape

D can't be a polygon because it has curved edges.

H can't be a polygon because it isn't closed up (there are no line segments).

I can't be a polygon because polygons cannot have intersecting lines

J can't be a polygon because polygons cannot have intersecting lines

I hope this helps! If it does, a rate or brainliest would be much appreciated. :)

please help and hurry i have no idea how to determine the rate of change of the function

please help and hurry i have no idea how to determine the rate of change of the function

Answers

Answer:

i think it might be 3 im really sorry if im wrong

Step-by-step explanation:

The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.

Answers

Answer:

hi deez

Step-by-step explanation:

If (x + a) is a factor of a polynomial function, (p) &, which two statements are true? - The binomial (x – a) is also a factor of p(x). - The value of p(a) must be 0. - The value of p(-a) must be 0. - There is an 2-intercept of the function at (-a,0). - There is an z-intercept of the function at (a,0).

Answers

Answer:

The value of p(-a) must be 0

There is an x intercept of the function at (-a,0)

Step-by-step explanation:

(x + a) is a factor of a function p(x)

that means, that p(x) must have an x-intercept at the point x = -a

This can be written in two different ways,

p(-a) = 0x-intercept of the function p(x) at (-a,0)

If (x + a) is a factor of a polynomial function, p(x), then the two statements that are true are:

The value of p(a) must be 0.There is an z-intercept of the function at (a,0).

A factor of a polynomial function is a binomial that, when multiplied by another polynomial, gives the original polynomial function. If (x + a) is a factor of p(x), then p(x) can be written as (x + a)q(x), where q(x) is another polynomial function.

According to the Factor Theorem, if (x + a) is a factor of p(x), then p(a) = 0. This means that the value of the polynomial function at x = a is 0.

Additionally, if p(a) = 0, then there is an z-intercept of the function at (a,0). This is because the z-intercept is the point where the function crosses the z-axis, and this occurs when the value of the function is 0.

Therefore, the two statements that are true are "The value of p(a) must be 0" and "There is an z-intercept of the function at (a,0)".

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What is 52 divided by 2? please help meeeee
A. 16 B. 26 C. 27 D. 36

Answers

Answer:

D. 26

Step-by-step explanation:

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╲┃◯┃╭┻┻╮╭┻┻╮┃╲╲

╲┃╮┃┃╭╮┃┃╭╮┃┃╲╲

╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲

╲┃◯┃╭╮╰╯┏━━━┳╯╲

╲┃╭┃╰┏┳┳┳┳┓◯┃╲╲

Brainliest?

solve the linear equation 4x-(2x-1)=x+5+x-6

Answers

The linear equation doesn't have a solution.

How to compute the value?

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Prove the following:

1 + cos^2 A = 2 ( cos^4A + sin^4A)​

Answers

The 2 sides of the equation are not equal; hence, I cannot prove them to be true.

A fleet of nine taxis is to be dispatched to three airports in such a way that two go to airport A, six go to airport B, and one goes to airport C. In how many distinct ways can this be accomplished

Answers

There are 252 distinct ways to dispatch the taxis to the three airports.

We need to find the number of distinct ways in which we can dispatch the taxis to the three airports, given that two taxis go to airport A, six go to airport B, and one goes to airport C.

First, we choose two taxis out of nine to send to airport A. This can be done in C(9, 2) = 36 ways.

Next, we choose six taxis out of the remaining seven to send to airport B. This can be done in C(7, 6) = 7 ways.

Finally, the last taxi is sent to airport C.

Therefore, the total number of distinct ways to dispatch the taxis is:

C(9, 2) x C(7, 6) = 36 x 7 = 252

There are 252 distinct ways to dispatch the taxis to the three airports.

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A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {1, 5, 6, 7, 9}

A ∪ (B ∩ C) =

Answers

Answer:

Answer is (1,3,5,6,7,9)

A savings account balance is compounded continuously.If the interest rate is 3.1% per year and the current balance is 1077.00 in how many years will the balance reach 1486.73?

Answers

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

please help will give brainliest

please help will give brainliest

Answers

I think it’s C (sorry if I’m incorrect)

Under his cell phone plan, Adrian pays a flat cost of $59.50 per month and $5 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine x x, the number of gigabytes Adrian can use while staying within his budget.

Answers

The cell phone plan is an illustration of a linear inequality

Adrian gigabyte usage must be less than 2.1 to spend under $70.

How to determine the number of gigabytes within budget?

The given parameters are:

Base cost = $59.50

Rate = $5 per gigabyte

Let the number of gigabyte be x.

So, the total amount is:

Total = 59.50 + 5x

Adrian wants to spend under $70.

So, we have:

59.50 + 5x < 70

Evaluate the like terms

5x < 10.5

Divide both sides by 5

x < 2.1

Hence, the number of gigabyte must be less than 2.1

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