State of an ideal gas was changed isobarically. graph depicts three such isobaric lines. Which of fo

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11.Thermodynamics

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The state of an ideal gas was changed isobarically. The graph depicts three such isobaric lines. Which of the following is true about the pressures of the gas?

A

$p_1=p_2=p_3$

B

$p_1 > p_2 > p_3$

C

$p_1 < p_2 < p_3$

D

$p_1 / p_2=p_3 / p_1$

(KVPY-2015)

Solution

(b)

Equation of state for ideal gas is $p V=n R T \Rightarrow V=\frac{n R}{p} \cdot T$

This is equation of line with slope $=\frac{n R}{p}$

$\Rightarrow \quad$ Slope $\propto \frac{1}{p}$

So, from graph, $p_3 < p_2 < p_1$.

Standard 11

Physics

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