Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius rA and rB, respectively. On supplying an equal amount of heat to both the systems reversibly unde

Question

Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius rA and rB, 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 \dfrac{rA}{rB} is equal to:

Vishal Gupta · Accepted Answer

B. Same heat, same \Delta U, so the work done (P\Delta V) is the same: \pi rA^2 	imes 16 = \pi rB^2 	imes 9 \Rightarrow \frac{rA}{rB} = \frac{3}{4}.

Thermodynamics

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