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TS EAMCET · Physics · Thermodynamics

An ideal gas at temperature \(T\), pressure \(p\) occupies a volume \(V\). If its temperature is halved and pressure doubled, what is its new volume?

  1. A \(\frac{V}{4}\)
  2. B \(\frac{V}{2}\)
  3. C \(\mathrm{V}\)
  4. D \(2 \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{V}{4}\)

Step-by-step Solution

Detailed explanation

Given, initial temperature, pressure and volume of ideal gas, \(T_1=T, p_1=p, V_1=V\) Final temperature, pressure and volume of gas is given as \(T_2=\frac{T_1}{2}=\frac{T}{2}\) \(p_2=2 p_1=2 p\) \(V_2=?\) According to ideal gas equation,…
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