KVPY SX SB Exam 2015 Question Paper

Question : 34 of 120

Marks: +1, -0

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 ?

$P_1=P_2=P_3$
$P_1>P_2>P_3$
$P_1$ < $P_2$ < $P_3$
$P_1/P_2=P_3/P_1$

Validate

Solution:

Ideal gas equation PV = nRT
For isobaric process

V = {nR}/P\;\T (V ∝ T

(straight line))
Slope of line =

{nR}/P

slope

∝1/P

\slope _3 > \slope _2 > \slope_ 1

P_3 < P_2 < P_1

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