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TS EAMCET · Physics · Kinetic Theory of Gases

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 \(\mathrm{P}^{\prime}=\) \(\mathrm{P}\)

  1. A \(\frac{1}{2}\)
  2. B 2
  3. C 1
  4. D Cannot be determined
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Correct Answer

(A) \(\frac{1}{2}\)

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Detailed explanation

\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…

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