Thermodynamics Question 6
Question 6 - 2024 (30 Jan Shift 2)
Choose the correct statement for processes $\mathrm{A} \backslash & \mathrm{~B}$ shown in figure.
(1) $\mathrm{PV}^{\gamma}=\mathrm{k}$ for process $\mathrm{B}$ and $\mathrm{PV}=\mathrm{k}$ for process $\mathrm{A}$.
(2) $\mathrm{PV}=\mathrm{k}$ for process $\mathrm{B}$ and $\mathrm{A}$.
(3) $\frac{T^{\gamma}}{\mathrm{P}^{\gamma-1}}=k$ 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 $\Rightarrow \mathrm{PV}^{v}=$ const.
Or $\mathrm{P}\left(\frac{\mathrm{T}}{\mathrm{P}}\right)^{v}=$ const.
$\frac{\mathrm{T}^{v}}{\mathrm{P}^{v-1}}=$ const.
Curve (A) is isothermal
$\mathrm{T}=$ const
$\mathrm{PV}=$ const.
