1 mole of a gas is changed from is initial state (15 lit; 2 atm) to final state (4 lit, 10 aim) reversibly. If this change can be represented by a straight line in p-V curve, calculate maximum temperature, the gas attained.

Q: 1 mole of a gas is changed from is initial state (15 lit; 2 atm) to final state (4 lit, 10 aim) reversibly. If this change can be represented by a straight line in p-V curve, calculate maximum temperature, the gas attained.

Sol: Equation for the straight Line is

$\large \frac{p-2}{10-2} = \frac{V-15}{4-15} $

11p + 8V = 142

For (pV)max,

11p = 142/2 = 71 and 8V = 142/2 = 71

p = 71/11 and V = 71/8

then apply = (pV)max = n R Tmax