First slide

Graphs

Question

In the given (V - T) diagram, what is the relation between pressures $P_{1} a n d P_{2} ?$

Moderate

A

$P_{2} < P_{1}$
B

Cannot be predicted
C

$P_{2} = P_{1}$
D

$P_{2} > P_{1}$

Solution

According to ideal gas equation
PV = nRT
Or $V = \frac{n R T}{P}$
For an isobaric process, P = constant and $V \propto T$
Therefore, V - T graph is a straight line passing through origin. Slope of this line is inversely proportional to P.
In the given figure,
${(S l o p e)}_{2} > {(S l o p e)}_{1} ∴ P_{2} < P_{1}$

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