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Vlad1618 [11]
3 years ago
9

A reaction taking place in a container with a piston-cylinder assembly at constant temperature produces a gas, and the volume in

creases from 127 mL to 654 mL against an external pressure of 860 torr. Calculate the work done in Joules (J)
Physics
1 answer:
djverab [1.8K]3 years ago
4 0

Answer:

60.4 J

Explanation:

The work done by the gas is given by:

W=p(V_f-V_i)

where

p is the gas pressure

V_f is the final volume of the gas

V_i is the initial volume

We must convert all the quantities into SI units:

p=860 torr \cdot \frac{1.013\cdot 10^5 pa}{760 torr}=1.146\cdot 10^5 Pa

V_i = 127 mL = 0.127 L = 0.127 dm^3 = 0.127 \cdot 10^{-3}m^2

V_f = 654 mL = 0.654 L = 0.654 dm^3 = 0.654 \cdot 10^{-3}m^2

So the work done is

W=(1.146\cdot 10^5 Pa)(0.654\cdot 10^{-3} m^3-0.127\cdot 10^{-3} m^3)=60.4 J

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