The amount of turpentine overflows.

Question

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Answer 1

Question

Chapter 19, Problem 21P

(a)

To determine

The amount of turpentine overflows.

(a)

Expert Solution

Answer to Problem 21P

The amount of turpentine overflows is 99.4 cm3_.

Explanation of Solution

Write the equation of volume that overflows.

(ΔV)=(β−3α)Vi(T2−T1) (I)

Here, (ΔV) is the amount of overflow liquid, β is the volume expansion coefficient, α is the linear expansion coefficient, Vi is the initial volume, T1 is the initial temperature and T2 is the final temperature.

Conclusion:

Substitute, 9.00×10−4/°C for β, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find (ΔV).

(ΔV)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(80.0°C−20.0°C)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(60.0°C)=99.4 L=99.4cm3

Thus, the amount of turpentine overflows is 99.4 cm3_.

(b)

To determine

The remaining volume of the turpentine in the cylinder.

(b)

Expert Solution

Answer to Problem 21P

The remaining volume of the turpentine in the cylinder is 2.01 L_.

Explanation of Solution

Write the equation of remaining volume of the liquid in the cylinder.

Vr=Vi+3αVi(T2−T1) (II)

Here, Vr is the remaining volume of liquid.

Conclusion:

Substitute, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find Vr.

Vr=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(80.0°C−20.0°C)=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(60.0°C)=2.01 L

Thus, the remaining volume of the turpentine in the cylinder is 2.01 L_.

(c)

To determine

The distance at which the cylinder’s rim does the turpentine’s surface recede.

(c)

Expert Solution

Answer to Problem 21P

The distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Explanation of Solution

Write the equation for the distance.

d=ph (III)

Here, d is the distance, p is the percentage of the empty cylinder and h is the depth of the cylinder.

Write the expression for the percentage.

p=(Vi−V'Vi)×100% (IV)

Here, V' is the volume of the liquid in the cylinder after it cools back to 20°C.

Write the expression for the volume of the liquid in the cylinder after it cools back to 20°C.

V'=V(1+β(T2−T1)) (V)

Rewrite the expression for the distance from equation (III) by using (IV) and (V).

d=[(Vi−[V(1+β(T2−T1))]Vi)×100%]h (VI)

Conclusion:

Substitute, 9.00×10−4/°C for β, 2.01 L for V, 2.000 L for Vi, 80.0°C for T1, 20.0 cm for h and 20.0°C for T2 in equation (I) to find (ΔV).

d=[((2.000 L)−[(2.01 L)(1+(9.00×10−4/°C)(20.0°C−80.0°C))](2.000 L))×100%](20.0 cm)=(4.99%)(20.0 cm)=0.998 cm

Therefore, the distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

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Answer 2

Question

Chapter 19, Problem 21P

(a)

To determine

The amount of turpentine overflows.

(a)

Expert Solution

Answer to Problem 21P

The amount of turpentine overflows is 99.4 cm3_.

Explanation of Solution

Write the equation of volume that overflows.

(ΔV)=(β−3α)Vi(T2−T1) (I)

Here, (ΔV) is the amount of overflow liquid, β is the volume expansion coefficient, α is the linear expansion coefficient, Vi is the initial volume, T1 is the initial temperature and T2 is the final temperature.

Conclusion:

Substitute, 9.00×10−4/°C for β, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find (ΔV).

(ΔV)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(80.0°C−20.0°C)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(60.0°C)=99.4 L=99.4cm3

Thus, the amount of turpentine overflows is 99.4 cm3_.

(b)

To determine

The remaining volume of the turpentine in the cylinder.

(b)

Expert Solution

Answer to Problem 21P

The remaining volume of the turpentine in the cylinder is 2.01 L_.

Explanation of Solution

Write the equation of remaining volume of the liquid in the cylinder.

Vr=Vi+3αVi(T2−T1) (II)

Here, Vr is the remaining volume of liquid.

Conclusion:

Substitute, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find Vr.

Vr=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(80.0°C−20.0°C)=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(60.0°C)=2.01 L

Thus, the remaining volume of the turpentine in the cylinder is 2.01 L_.

(c)

To determine

The distance at which the cylinder’s rim does the turpentine’s surface recede.

(c)

Expert Solution

Answer to Problem 21P

The distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Explanation of Solution

Write the equation for the distance.

d=ph (III)

Here, d is the distance, p is the percentage of the empty cylinder and h is the depth of the cylinder.

Write the expression for the percentage.

p=(Vi−V'Vi)×100% (IV)

Here, V' is the volume of the liquid in the cylinder after it cools back to 20°C.

Write the expression for the volume of the liquid in the cylinder after it cools back to 20°C.

V'=V(1+β(T2−T1)) (V)

Rewrite the expression for the distance from equation (III) by using (IV) and (V).

d=[(Vi−[V(1+β(T2−T1))]Vi)×100%]h (VI)

Conclusion:

Substitute, 9.00×10−4/°C for β, 2.01 L for V, 2.000 L for Vi, 80.0°C for T1, 20.0 cm for h and 20.0°C for T2 in equation (I) to find (ΔV).

d=[((2.000 L)−[(2.01 L)(1+(9.00×10−4/°C)(20.0°C−80.0°C))](2.000 L))×100%](20.0 cm)=(4.99%)(20.0 cm)=0.998 cm

Therefore, the distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

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Answer 3

Question

Chapter 19, Problem 21P

(a)

To determine

The amount of turpentine overflows.

(a)

Expert Solution

Answer to Problem 21P

The amount of turpentine overflows is 99.4 cm3_.

Explanation of Solution

Write the equation of volume that overflows.

(ΔV)=(β−3α)Vi(T2−T1) (I)

Here, (ΔV) is the amount of overflow liquid, β is the volume expansion coefficient, α is the linear expansion coefficient, Vi is the initial volume, T1 is the initial temperature and T2 is the final temperature.

Conclusion:

Substitute, 9.00×10−4/°C for β, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find (ΔV).

(ΔV)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(80.0°C−20.0°C)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(60.0°C)=99.4 L=99.4cm3

Thus, the amount of turpentine overflows is 99.4 cm3_.

(b)

To determine

The remaining volume of the turpentine in the cylinder.

(b)

Expert Solution

Answer to Problem 21P

The remaining volume of the turpentine in the cylinder is 2.01 L_.

Explanation of Solution

Write the equation of remaining volume of the liquid in the cylinder.

Vr=Vi+3αVi(T2−T1) (II)

Here, Vr is the remaining volume of liquid.

Conclusion:

Substitute, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find Vr.

Vr=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(80.0°C−20.0°C)=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(60.0°C)=2.01 L

Thus, the remaining volume of the turpentine in the cylinder is 2.01 L_.

(c)

To determine

The distance at which the cylinder’s rim does the turpentine’s surface recede.

(c)

Expert Solution

Answer to Problem 21P

The distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Explanation of Solution

Write the equation for the distance.

d=ph (III)

Here, d is the distance, p is the percentage of the empty cylinder and h is the depth of the cylinder.

Write the expression for the percentage.

p=(Vi−V'Vi)×100% (IV)

Here, V' is the volume of the liquid in the cylinder after it cools back to 20°C.

Write the expression for the volume of the liquid in the cylinder after it cools back to 20°C.

V'=V(1+β(T2−T1)) (V)

Rewrite the expression for the distance from equation (III) by using (IV) and (V).

d=[(Vi−[V(1+β(T2−T1))]Vi)×100%]h (VI)

Conclusion:

Substitute, 9.00×10−4/°C for β, 2.01 L for V, 2.000 L for Vi, 80.0°C for T1, 20.0 cm for h and 20.0°C for T2 in equation (I) to find (ΔV).

d=[((2.000 L)−[(2.01 L)(1+(9.00×10−4/°C)(20.0°C−80.0°C))](2.000 L))×100%](20.0 cm)=(4.99%)(20.0 cm)=0.998 cm

Therefore, the distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

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Answer 4

Question

Chapter 19, Problem 21P

(a)

To determine

The amount of turpentine overflows.

(a)

Expert Solution

Answer to Problem 21P

The amount of turpentine overflows is 99.4 cm3_.

Explanation of Solution

Write the equation of volume that overflows.

(ΔV)=(β−3α)Vi(T2−T1) (I)

Here, (ΔV) is the amount of overflow liquid, β is the volume expansion coefficient, α is the linear expansion coefficient, Vi is the initial volume, T1 is the initial temperature and T2 is the final temperature.

Conclusion:

Substitute, 9.00×10−4/°C for β, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find (ΔV).

(ΔV)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(80.0°C−20.0°C)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(60.0°C)=99.4 L=99.4cm3

Thus, the amount of turpentine overflows is 99.4 cm3_.

(b)

To determine

The remaining volume of the turpentine in the cylinder.

(b)

Expert Solution

Answer to Problem 21P

The remaining volume of the turpentine in the cylinder is 2.01 L_.

Explanation of Solution

Write the equation of remaining volume of the liquid in the cylinder.

Vr=Vi+3αVi(T2−T1) (II)

Here, Vr is the remaining volume of liquid.

Conclusion:

Substitute, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find Vr.

Vr=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(80.0°C−20.0°C)=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(60.0°C)=2.01 L

Thus, the remaining volume of the turpentine in the cylinder is 2.01 L_.

(c)

To determine

The distance at which the cylinder’s rim does the turpentine’s surface recede.

(c)

Expert Solution

Answer to Problem 21P

The distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Explanation of Solution

Write the equation for the distance.

d=ph (III)

Here, d is the distance, p is the percentage of the empty cylinder and h is the depth of the cylinder.

Write the expression for the percentage.

p=(Vi−V'Vi)×100% (IV)

Here, V' is the volume of the liquid in the cylinder after it cools back to 20°C.

Write the expression for the volume of the liquid in the cylinder after it cools back to 20°C.

V'=V(1+β(T2−T1)) (V)

Rewrite the expression for the distance from equation (III) by using (IV) and (V).

d=[(Vi−[V(1+β(T2−T1))]Vi)×100%]h (VI)

Conclusion:

Substitute, 9.00×10−4/°C for β, 2.01 L for V, 2.000 L for Vi, 80.0°C for T1, 20.0 cm for h and 20.0°C for T2 in equation (I) to find (ΔV).

d=[((2.000 L)−[(2.01 L)(1+(9.00×10−4/°C)(20.0°C−80.0°C))](2.000 L))×100%](20.0 cm)=(4.99%)(20.0 cm)=0.998 cm

Therefore, the distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

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Answer 5

Chapter 19, Problem 21P

(a)

To determine

The amount of turpentine overflows.

(a)

Expert Solution

Answer to Problem 21P

The amount of turpentine overflows is 99.4 cm3_.

Explanation of Solution

Write the equation of volume that overflows.

(ΔV)=(β−3α)Vi(T2−T1) (I)

Here, (ΔV) is the amount of overflow liquid, β is the volume expansion coefficient, α is the linear expansion coefficient, Vi is the initial volume, T1 is the initial temperature and T2 is the final temperature.

Conclusion:

Substitute, 9.00×10−4/°C for β, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find (ΔV).

(ΔV)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(80.0°C−20.0°C)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(60.0°C)=99.4 L=99.4cm3

Thus, the amount of turpentine overflows is 99.4 cm3_.

(b)

To determine

The remaining volume of the turpentine in the cylinder.

(b)

Expert Solution

Answer to Problem 21P

The remaining volume of the turpentine in the cylinder is 2.01 L_.

Explanation of Solution

Write the equation of remaining volume of the liquid in the cylinder.

Vr=Vi+3αVi(T2−T1) (II)

Here, Vr is the remaining volume of liquid.

Conclusion:

Substitute, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find Vr.

Vr=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(80.0°C−20.0°C)=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(60.0°C)=2.01 L

Thus, the remaining volume of the turpentine in the cylinder is 2.01 L_.

(c)

To determine

The distance at which the cylinder’s rim does the turpentine’s surface recede.

(c)

Expert Solution

Answer to Problem 21P

The distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Explanation of Solution

Write the equation for the distance.

d=ph (III)

Here, d is the distance, p is the percentage of the empty cylinder and h is the depth of the cylinder.

Write the expression for the percentage.

p=(Vi−V'Vi)×100% (IV)

Here, V' is the volume of the liquid in the cylinder after it cools back to 20°C.

Write the expression for the volume of the liquid in the cylinder after it cools back to 20°C.

V'=V(1+β(T2−T1)) (V)

Rewrite the expression for the distance from equation (III) by using (IV) and (V).

d=[(Vi−[V(1+β(T2−T1))]Vi)×100%]h (VI)

Conclusion:

Substitute, 9.00×10−4/°C for β, 2.01 L for V, 2.000 L for Vi, 80.0°C for T1, 20.0 cm for h and 20.0°C for T2 in equation (I) to find (ΔV).

d=[((2.000 L)−[(2.01 L)(1+(9.00×10−4/°C)(20.0°C−80.0°C))](2.000 L))×100%](20.0 cm)=(4.99%)(20.0 cm)=0.998 cm

Therefore, the distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Answer 6

Chapter 19, Problem 21P

(a)

To determine

The amount of turpentine overflows.

(a)

Expert Solution

Answer to Problem 21P

The amount of turpentine overflows is 99.4 cm3_.

Explanation of Solution

Write the equation of volume that overflows.

(ΔV)=(β−3α)Vi(T2−T1) (I)

Here, (ΔV) is the amount of overflow liquid, β is the volume expansion coefficient, α is the linear expansion coefficient, Vi is the initial volume, T1 is the initial temperature and T2 is the final temperature.

Conclusion:

Substitute, 9.00×10−4/°C for β, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find (ΔV).

(ΔV)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(80.0°C−20.0°C)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(60.0°C)=99.4 L=99.4cm3

Thus, the amount of turpentine overflows is 99.4 cm3_.

Answer 7

Chapter 19, Problem 21P

(a)

To determine

The amount of turpentine overflows.

Answer 8

(a)

Expert Solution

Answer to Problem 21P

The amount of turpentine overflows is 99.4 cm3_.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Write the equation of volume that overflows.

(ΔV)=(β−3α)Vi(T2−T1) (I)

Here, (ΔV) is the amount of overflow liquid, β is the volume expansion coefficient, α is the linear expansion coefficient, Vi is the initial volume, T1 is the initial temperature and T2 is the final temperature.

Conclusion:

Substitute, 9.00×10−4/°C for β, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find (ΔV).

(ΔV)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(80.0°C−20.0°C)=([9.00×10−4/°C]−3[24.0×10−6/°C])(2.000 L)(60.0°C)=99.4 L=99.4cm3

Thus, the amount of turpentine overflows is 99.4 cm3_.

Answer 13

(b)

To determine

The remaining volume of the turpentine in the cylinder.

(b)

Expert Solution

Answer to Problem 21P

The remaining volume of the turpentine in the cylinder is 2.01 L_.

Explanation of Solution

Write the equation of remaining volume of the liquid in the cylinder.

Vr=Vi+3αVi(T2−T1) (II)

Here, Vr is the remaining volume of liquid.

Conclusion:

Substitute, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find Vr.

Vr=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(80.0°C−20.0°C)=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(60.0°C)=2.01 L

Thus, the remaining volume of the turpentine in the cylinder is 2.01 L_.

Answer 14

(b)

To determine

The remaining volume of the turpentine in the cylinder.

Answer 15

(b)

Expert Solution

Answer to Problem 21P

The remaining volume of the turpentine in the cylinder is 2.01 L_.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Write the equation of remaining volume of the liquid in the cylinder.

Vr=Vi+3αVi(T2−T1) (II)

Here, Vr is the remaining volume of liquid.

Conclusion:

Substitute, 24.0×10−6/°C for α, 2.000 L for Vi, 20.0°C for T1 and 80.0°C for T2 in equation (I) to find Vr.

Vr=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(80.0°C−20.0°C)=(2.000 L)+3(24.0×10−6/°C)(2.000 L)(60.0°C)=2.01 L

Thus, the remaining volume of the turpentine in the cylinder is 2.01 L_.

Answer 20

(c)

To determine

The distance at which the cylinder’s rim does the turpentine’s surface recede.

(c)

Expert Solution

Answer to Problem 21P

The distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Explanation of Solution

Write the equation for the distance.

d=ph (III)

Here, d is the distance, p is the percentage of the empty cylinder and h is the depth of the cylinder.

Write the expression for the percentage.

p=(Vi−V'Vi)×100% (IV)

Here, V' is the volume of the liquid in the cylinder after it cools back to 20°C.

Write the expression for the volume of the liquid in the cylinder after it cools back to 20°C.

V'=V(1+β(T2−T1)) (V)

Rewrite the expression for the distance from equation (III) by using (IV) and (V).

d=[(Vi−[V(1+β(T2−T1))]Vi)×100%]h (VI)

Conclusion:

Substitute, 9.00×10−4/°C for β, 2.01 L for V, 2.000 L for Vi, 80.0°C for T1, 20.0 cm for h and 20.0°C for T2 in equation (I) to find (ΔV).

d=[((2.000 L)−[(2.01 L)(1+(9.00×10−4/°C)(20.0°C−80.0°C))](2.000 L))×100%](20.0 cm)=(4.99%)(20.0 cm)=0.998 cm

Therefore, the distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Answer 21

(c)

To determine

The distance at which the cylinder’s rim does the turpentine’s surface recede.

Answer 22

(c)

Expert Solution

Answer to Problem 21P

The distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Write the equation for the distance.

d=ph (III)

Here, d is the distance, p is the percentage of the empty cylinder and h is the depth of the cylinder.

Write the expression for the percentage.

p=(Vi−V'Vi)×100% (IV)

Here, V' is the volume of the liquid in the cylinder after it cools back to 20°C.

Write the expression for the volume of the liquid in the cylinder after it cools back to 20°C.

V'=V(1+β(T2−T1)) (V)

Rewrite the expression for the distance from equation (III) by using (IV) and (V).

d=[(Vi−[V(1+β(T2−T1))]Vi)×100%]h (VI)

Conclusion:

Substitute, 9.00×10−4/°C for β, 2.01 L for V, 2.000 L for Vi, 80.0°C for T1, 20.0 cm for h and 20.0°C for T2 in equation (I) to find (ΔV).

d=[((2.000 L)−[(2.01 L)(1+(9.00×10−4/°C)(20.0°C−80.0°C))](2.000 L))×100%](20.0 cm)=(4.99%)(20.0 cm)=0.998 cm

Therefore, the distance at which the cylinder’s rim does the turpentine’s surface recede is 0.998 cm_.

Answer 27

Ch. 19.1 - Prob. 19.1QQ Ch. 19.3 - Consider the following pairs of materials. Which...Ch. 19.4 - If you are asked to make a very sensitive glass...Ch. 19.4 - Prob. 19.4QQ Ch. 19.5 - A common material for cushioning objects in...Ch. 19.5 - On a winter day, you turn on your furnace and the...Ch. 19 - Prob. 1OQ Ch. 19 - Prob. 2OQ Ch. 19 - Prob. 3OQ Ch. 19 - Prob. 4OQ

The amount of turpentine overflows.

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The amount of turpentine overflows.

Answer to Problem 21P

Explanation of Solution

The remaining volume of the turpentine in the cylinder.

Answer to Problem 21P

Explanation of Solution

The distance at which the cylinder’s rim does the turpentine’s surface recede.

Answer to Problem 21P

Explanation of Solution

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Chapter 19 Solutions