In given (V-T) diagram, relation between pressure P₁ and P₂ is

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12.Kinetic Theory of Gases

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In the given $(V-T)$ diagram, what is the relation between pressure $P_1$ and $P_2$ is

A

$P_2 > P_1$

B

$P_2 < P_1$

C

$P_2 = P_1$

D

None of these

Solution

According to Ideal gas equation

$P V=n R T$ or $V=\frac{n R T}{P}$

For an isobaric process,

$\mathrm{P}=$ constant and $\mathrm{V} \propto \mathrm{T}$

Therefore, $\mathrm{V}$ $-$ $\mathrm{T}$ graph is a straight line passing through origin. Slope of this line is inversely proportional to $P$

$\mathrm{(slope)}$ $_{2}>(\text { slope })_{1}$

$\therefore {P_2} < {P_1}$

Standard 11

Physics

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