Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius r_A and r_B, respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas A and B are displaced by 16 cm and 9 cm , respectively. If

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Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius r_A and r_B, respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas A and B are displaced by 16 cm and 9 cm , respectively. If the change in their internal energy is the same, then the ratio r_A r_B is equal to

Quantrex Academy · Accepted Answer

Correct answer: B. 3 4

According to question Pressure is constant P_A=P_B aligned & Q _ A = Q _ B \ & U _ A = U _ B aligned So according to I law aligned & Q = U + w \ & w _1= W _2 \ & P _1 ~V _1= P _2 ~V _2 \ & ( r _ A ^2 ) x _ B = ( r _ B ^2 ) x _ A \ & r _ A r _ B = x _ B x _ A = 9 16 = 3 4 aligned

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