Thermodynamics Question 7

Question 7 - 2024 (31 Jan Shift 1)

The given figure represents two isobaric processes for the same mass of an ideal gas, then

(1) $P_{2} \geq P_{1}$

(2) $P_{2}>P_{1}$

(3) $P_{1}=P_{2}$

(4) $P_{1}>P_{2}$

Show Answer

Answer: (4)

Solution:

$\mathrm{PV}=\mathrm{nRT}$

$\mathrm{V}=\left(\frac{\mathrm{nR}}{\mathrm{P}}\right) \mathrm{T}$

Slope $=\frac{\mathrm{nR}}{\mathrm{P}}$

Slope $\propto \frac{1}{\mathrm{P}}$

(Slope $){2}>(\text { Slope }){1}$

$\mathrm{P}{2}<\mathrm{P}{1}$