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Question

A gas is compressed from some initial volume V1 to final volume Vf along two different paths as shown in figure.

If W1,W2 corresponds to work done during polytropic process of exponents n1,n2 respectively, then which of the following statements is/are correct ?
  1. W1>W2
  2. n1>n2
  3. W1<W2
  4. n1<n2


Solution

The correct options are
A W1>W2
B n1>n2
From the figure, we can deduce that, Area under process PVn1= constant is greater than the area under process PVn2= constant
Thus, W1>W2
and,
Slope of 1> Slope of 2
n1>n2
Thus, options (a) and (b) are correct.

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