### Thermodynamics Question 6

#### Question 6 - 2024 (30 Jan Shift 2)

Choose the correct statement for processes $A \& B$ shown in figure.

(1) $PV^{\gamma}=k$ for process $B$ and $PV=k$ for process $A$.

(2) $PV=k$ for process $B$ and $A$.

(3) $\frac{T^{\gamma}}{P^{\gamma-1}}=k$ for process $A$ and $P V=k$ for process $B$.

(4) None of these

## Show Answer

#### Answer: (1)

#### Solution:

Steeper curve (B) is adiabatic

Adiabatic $\Rightarrow PV^{v}=$ const.

Or $P\left(\frac{T}{P}\right)^{v}=$ const.

$\frac{T^{v}}{P^{v-1}}=$ const.

Curve (A) is isothermal

$T=$ const

$PV=$ const.