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Gas Laws & Ideal Gas Equation question from NEET 2013

Q76NEET 2013Easy

Gas Laws & Ideal Gas Equation

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

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Answer: (a)

At constant $P$ : $V = \left(\dfrac{nR}{P}\right)T$ , so slope $\tan\theta = \dfrac{nR}{P} \propto \dfrac{1}{P}$ .
$\theta_2 > \theta_1 \Rightarrow \tan\theta_2 > \tan\theta_1 \Rightarrow P_2 < P_1$
So the answer is (a) $P_2 < P_1$ .

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