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Verdich
20 days ago
6

A gas is compressed in a cylinder from a volume of 20.0 l to 2.0 l by a constant pressure of 10.0 atm. calculate the amount of w

ork done on the system.
Physics
1 answer:
Maru [2.3K]20 days ago
8 0
First, we must transform the pressure into SI units, considering that 1 atm = 1.01 \cdot 10^5 Pa:
p=10.0 atm =1.01 \cdot 10^6 Pa

The starting and ending volumes of the gas will be as follows (keeping in mind that 1.0 L = 0.001 m^3):
V_i = 20.0 L=0.020 m^3
V_f = 2.0 L=0.002 m^3

Thus, the work performed on the gas by its surroundings is
W= -p \Delta V=-p(V_f-V_i)=-(1.01 \cdot 10^6 Pa)(0.002 m^3-0.020 m^3)=18180 J
The positive outcome indicates that this work leads to a rise in the gas's internal energy.
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