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Question: Answered & Verified by Expert
One mole of a gas at a pressure $2 \mathrm{~Pa}$ and temperature $27^{\circ} \mathrm{C}$ is heated till both pressure and volume are doubled. What is the temperature of the gas?
PhysicsKinetic Theory of GasesAP EAMCETAP EAMCET 2021 (23 Aug Shift 2)
Options:
  • A $300 \mathrm{~K}$
  • B $600 \mathrm{~K}$
  • C $900 \mathrm{~K}$
  • D $1200 \mathrm{~K}$
Solution:
2887 Upvotes Verified Answer
The correct answer is: $1200 \mathrm{~K}$
Given,

Let volume, $V_1=V$
By using ideal gas equation,
$\frac{p_1 V_1}{T_1}=\frac{p_2 V_2}{T_2}$
Substituting the values, we get
$\frac{2 V}{300}=\frac{4(2 V)}{T} \Rightarrow T=1200 \mathrm{~K}$

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