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Question: Answered & Verified by Expert
A sample of oxygen gas and a sample of hydrogen gas both have the same mass, same volume and the same pressure. The ratio of their absolute temperature is
PhysicsKinetic Theory of GasesMHT CETMHT CET 2023 (13 May Shift 2)
Options:
  • A $1: 4$
  • B $4: 1$
  • C $1: 16$
  • D $16: 1$
Solution:
2523 Upvotes Verified Answer
The correct answer is: $16: 1$
$\mathrm{P}_1 \mathrm{~V}_1=\frac{\mathrm{m}_1}{\mathrm{M}_1} \mathrm{RT}_1 \ldots$...(i)
$\mathrm{P}_2 \mathrm{~V}_2=\frac{\mathrm{m}_2}{\mathrm{M}_2} \mathrm{RT}_2 \ldots$ (ii)
Dividing (i) by (ii)
$\frac{\mathrm{T}_1}{\mathrm{~T}_2}=\frac{\mathrm{M}_1}{\mathrm{M}_2}=\frac{32}{2}=\frac{16}{1}$

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