Question

Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure.

Choose the correct alternative

• A. (a)$V_{1} = V_{2},V_{3} = V_{4}$and$V_{2} > V_{3}$
• B. $V_{1} = V_{2},V_{3} = V_{4}$and$V_{2} < V_{3}$
• C. $V_{1} = V_{2} = V_{3} = V_{4}$
• D. $V_{4} > V_{3} > V_{2} > V_{1}$

Answer 1

Answer: (C)

$V_{1} = V_{2} = V_{3} = V_{4}$

Answer 2

From ideal gas equation PV = RT …..(i)

or

$P\Delta V = R\Delta T$ …..(ii)

Dividing equation (ii) by (i) we get $\frac{\Delta V}{V} = \frac{\Delta T}{T}$

⇒ $\frac{\Delta V}{V\Delta T} = \frac{1}{T} = \delta$ (given)

∴ $\delta = \frac{1}{T}$. So the graph between δ and T will be rectangular hyperbola