Figure shows a container having adiabatic walls and a freely movable separator which is highly conducting. The separator divides the cylinder in two equal parts A and B each containing 2 moles of ideal diatomic gas at temperature 300 K. Now a heater is switched on in part A, find the heat supplied (in kJ) by heater till pressure in part A is double [Take `R = 25/3` SI units]

Answer

25

Explanation

Since walls are adiabatic heat lost to surrounding = 0
Movable separator is highly conducting `rArr`
Temperature remains same in both chambers at all time
`rArr` separator doesn’t move or work done by gas ` =0 :. nC_v dt = d theta = (2 xx n) (5/2 R) ( 2 T_0 - T_0)" "rArr d theta = 25 kJ`