Question

A gas expands in a frictionless piston-cylynder arrangement. The expansion process is very slow,and is resisted by an ambient pressure of 100 kPa. During the expansion process, the pressure of the system (gas) remains constant at 300 kPa. The change in volume of the gas is $0.01m^3$.The maximum amount of work that could be utlized from the above process is.

• A. 1 kJ
• B. 0 kJ
• C. 2 kJ
• D. 3 kJ

Answer 1

The correct option is C 2 kJ

(c)
Given data:
Pressure of gs in a cylinder, $p=300kPa$
Ambient pressure, $p_{stm}=100kPa$
change in volume,
$dV=0.01m^3$

Maximum amount of work,
$W_{max}=(p-p_{stm})dV$
$=(300-100)\times 0.01=2kJ$