A vertical cylinder closed at both ends is fitted with a smooth piston dividing the volume into ...

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A vertical cylinder closed at both ends is fitted with a smooth piston dividing the volume into two parts each containing one mole of air. In equilibrium temperature of \( 320 \mathrm{~K} \), the upper and lower parts are in the ratio \( 4: 1 \). The ratio will become \( 3: 1 \) at a temperature of
(a) \( 450 \mathrm{~K} \)
(b) \( 228 \mathrm{~K} \)
(c) \( 420 \mathrm{~K} \)
(d) \( 570 \mathrm{~K} \)
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