Problem 9.51 At a constant pressure of 0.974 atm , a chemical reaction takes pla

Question

Problem 9.51

At a constant pressure of 0.974 atm , a chemical reaction takes place in a cylindrical container with a movable piston having a diameter of 30.0 cm . During the reaction, the height of the piston drops by 75.0 cm . (The volume of a cylinder is V=r2h, where h is the height; 1Latm=101.325J.)

Part A

What is the change in volume in liters during the reaction?

Express your answer with the appropriate units.

Part B

What is the value in joules of the work w done during the reaction?

Express your answer with the appropriate units.

Problem 9.51

At a constant pressure of 0.974 atm , a chemical reaction takes place in a cylindrical container with a movable piston having a diameter of 30.0 cm . During the reaction, the height of the piston drops by 75.0 cm . (The volume of a cylinder is V=r2h, where h is the height; 1Latm=101.325J.)

Part A

What is the change in volume in liters during the reaction?

Express your answer with the appropriate units.

Part B

What is the value in joules of the work w done during the reaction?

Express your answer with the appropriate units.

Explanation / Answer

A)
volume is decraesing
V = -pi*r^2*d
= -pi*(0.15 m)^2 * (0.75)
= -0.053 m^3
V = -0.053 m^3
= - 53 L
Answer: -0.053 m^3
OR
Answer: - 53 L

B)
V = -0.053 m^3
= - 53 L
Pext = 0.974 atm

W = -Pext * V
= -0.974 atm * (-53 L)
= 51.622 atm-L
= 51.622 * 101.325 J
= 5230.6 J
Answer: 5230.6 J

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