First slide

Graphs

Question

For the process shown in volume-temperature (V – T ) diagram the pressure from a to b

Difficult

A

Increases
B

Decreases
C

Remains constant
D

First decreases then increases

Solution

The given V - T graph has a mathematical equation V = V_o + mT,
Here m is the +Ve slope and V₀ is the y intercept which is also +Ve.
Substituting the value of V in ideal gas equation P(V₀ + mT) = RT
$P = \frac{RT}{(V_{0} + mT)} = \frac{R}{\frac{V_{0}}{T} + m}$
So as T increases, P increases.

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