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Thermodynamic Processes

A gas is bein...

Question

A gas is being heated in such a way that its pressure and volume both are tripled. The absolute temperature of the gas become __________ times.

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Solution

A gas is being heated in such a way that its pressure and volume both are tripled. The absolute temperature of the gas becomes 9 times.
The ideal gas equation is $P V = n R T$ .
Thus, the absolute temperature of a gas is directly proportional to the product of pressure and volume.
$\frac{T^{'}}{T} = \frac{P^{'} V^{'}}{P V} = \frac{3 P \times 3 V}{P V} = 9$
Hence, $T^{'} = 9 T$

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