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Question: Answered & Verified by Expert
An ideal gas at pressure $\mathrm{P}$ is enclosed in a container that is placed in a reservoir at temperature $T$. If the volume of the gas is increased to two times its original value, then the new pressure $\mathrm{P}^{\prime}=$ $\mathrm{P}$
PhysicsKinetic Theory of GasesTS EAMCETTS EAMCET 2022 (20 Jul Shift 2)
Options:
  • A $\frac{1}{2}$
  • B 2
  • C 1
  • D Cannot be determined
Solution:
1003 Upvotes Verified Answer
The correct answer is: $\frac{1}{2}$
$\begin{aligned} & \text { Here } \mathrm{T}=\text { constant } \\ & \Rightarrow \mathrm{PV}=\text { constant } \\ & \Rightarrow \mathrm{P}_1 \mathrm{~V}_1=\mathrm{P}_2 \mathrm{~V}_2 \\ & \Rightarrow \mathrm{PV}=\mathrm{P}^{\prime} \times 2 \mathrm{~V} \\ & \Rightarrow \mathrm{P}=\frac{1}{2} \mathrm{P}\end{aligned}$

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