First slide

Introduction-thermodynamics

Question

An ideal gas undergoes a process $A \to B$ as shown on the pressure- temperature graph. The gas undergoes.

Easy

A

Compression
B

Expansion
C

No change in volume
D

Data insufficient

Solution

As slope of straight line passing through origin on P-T graph is given as $P = (\frac{n R}{V}) T$
$\begin{array}{l} Slope = \frac{n R}{V} \\ \Rightarrow \tan θ_{B} > \tan θ_{A} \\ \Rightarrow \frac{n R}{V_{B}} > \frac{n R}{V_{A}} \\ \Rightarrow V_{A} > V_{B} \end{array}$
Thus, compression occurs.

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