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, Diffcult
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B$p_1 > p_2 > p_3$
b (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, $p_3 < p_2 < p_1$.
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