An ideal gas undergoes cyclic process ABCDA as shown in the given P-V diagram. The amount of work done by the gas is

Home » An ideal gas undergoes cyclic process ABCDA as shown in the given P-V diagram. The amount of work done by the gas is

An ideal gas undergoes cyclic process ABCDA as shown in the given P-V diagram. The amount of work done by the gas is

a) 6P₀V₀

b) -2P₀V₀

c) +2P₀V₀

d) +4P₀V₀

Answer:

The correct option is d) +4P₀V₀

Explanation

Work done by the gas is equal to the area of rectangle $A B C D A$
$= A B \times B C = (2 V_{0}) P_{0} = 2 P_{0} V_{0}$

$= A B \times B C = (2 V_{0}) P_{0} = 2 P_{0} V_{0}$

This work is done on the gas as the trace is anticlockwise
Therefore, the work done by the gas $= - 2 P_{0} V_{0}$

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