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In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation \( V T=K \), where \( K \) is a constant. In this process the temperature of the gas is increased by \( \Delta T \). The amount of
\( \mathrm{P} \) heat absorbed by gas is ( \( R \) is gas constant)
[JEE (Main) 2019]
(a) \( \frac{1}{2} R \Delta T \)
(b) \( \frac{1}{2} K R \Delta T \)
(c) \( \frac{3}{2} R \Delta T \)
(d) \( \frac{2 K}{3} \Delta T \)
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