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If the pressure on an enclosed gas is doubled and its temperature rises from 27ºC...

Physics
JAMB 2024

If the pressure on an enclosed gas is doubled and its temperature rises from 27ºC to 127ºC, then its volume will 

  • A. increase by \(\frac{2}{3^{rd}}\)
  • B. increase by \(\frac{1}{3^{rd}}\)
  • C. decrease by \(\frac{2}{3^{rd}}\)
  • D. decrease by \(\frac{1}{3^{rd}}\)
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Correct Answer: Option D
Explanation

Using the general gas equation;

\(\frac{P_1 \times V_1}{T_1}\) = \(\frac{P_2 \times V_2}{T_2}\)

P\(_1\) = P, P\(_2\) = 2P, T\(_1\) = 27ºC → 300K, T\(_2\) = 127ºC → 400k,

V\(_2\) = \(\frac{P_1 \times V_1 \times T_2}{T_1 \times P_2}\)

V\(_2\) =  \(\frac{P \times V_1 \times 400}{300 \times 2P}\) = \(\frac{2V_1}{3}\)

ΔV = V\(_1\) - \(\frac{2V_1}{3}\) = \(\frac{V_1}{3}\)

Therefore, The volume decreases by \(\frac{1}{3}\) of the original volume.

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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