First slide

Different type of processes

Question

A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are (P, 5V) and (10P, V). If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are:

Easy

A

2V, 4V
B

3V, 3V
C

5V, V
D

4V, 2V

Solution

$\frac{P (5 V)}{T_{1}} = \frac{P_{1} (5 V - x)}{T_{1}} and \frac{(10 P) (V)}{T_{2}} = \frac{P_{1} (V + x)}{T_{2}} \Rightarrow x = 3 V$

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