Question

$p-T$ diagram was obtained when a given mass of gas was heated. During the heating process from the state $1$ state $2$ the volume.

• A. Increased
• B. Decreased
• C. Remained constant
• D. Changed erratically

Answer 1

The correct option is A Increased

Let For state 1

Pressure is $P_1$

Temperature is $T_1$

Volume is $V_1$

For state 2

Pressure is $P_2$

Temperature is $T_{12}$

Volume is $V_2$

From diagram we can say that

${\theta }_1>{\theta }_2$

Slop of sate 1 is greater than state 2

$\frac{P_1}{T_1}>\frac{P_2}{T_2}$

From ideal gas law

$PV=nRT$

$\frac{P}{T}=\frac{nR}{V}$

Now,

$\frac{1}{V_1}>\frac{1}{V_2}$

$V_2>V_1$

Therefore, volume will increase from state 1 to state 2,correct option is A.