Q. When the temperature of a gas increases by 1$℃$, its pressure increases 0.4%. What is its initial temperature?

A) 250 K
B) 125 K
C) 195 K
D) 329 K
Explanation

(a) If the volume remains constant, then
$\frac{p_{1}}{p_{2}} = \frac{T_{1}}{T_{2}}$
$\Rightarrow \ \ \ \ \ \ \ \ \ \ \ \ \frac{p}{p + \frac{0.4}{100}p} = \frac{T}{T + 1}$
$_{or}$ $T = 250$ $_{K}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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