The given curve represents the variation of temperature as a function of volume for one mole of an ideal gas. Which of the following curves best represents the variation of pressure as a function of volume?

Question

The given curve represents the variation of temperature as a function of volume for one mole of an ideal gas. Which of the following curves best represents the variation of pressure as a function of volume? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Here, T=V tan 45°+T0 ⇒ T=V +T0 And P=(n R T/V), ∴ (P V/R)=V+T0 (Since, n =1) (P-R) V=R T0 Therefore, graph will be rectangular hyperbola.

Q. The given curve represents the variation of temperature as a function of volume for one mole of an ideal gas. Which of the following curves best represents the variation of pressure as a function of volume?

Here, $T = V tan 4 5^{\circ} + T_{0}$
$\Rightarrow T = V + T_{0}$
And $P = \frac{n RT}{V}$ ,
$∴ \frac{P V}{R} = V + T_{0}$ (Since, n =1)
$(P - R) V = R T_{0}$
Therefore, graph will be rectangular hyperbola.

Q. The given curve represents the variation of temperature as a function of volume for one mole of an ideal gas. Which of the following curves best represents the variation of pressure as a function of volume?

Here, T=Vtan45∘+T0​ ⇒T=V+T0​ And P=VnRT​, ∴RPV​=V+T0​ (Since, n =1) (P−R)V=RT0​ Therefore, graph will be rectangular hyperbola.

Here, $T = V tan 4 5^{\circ} + T_{0}$
$\Rightarrow T = V + T_{0}$
And $P = \frac{n RT}{V}$ ,
$∴ \frac{P V}{R} = V + T_{0}$ (Since, n =1)
$(P - R) V = R T_{0}$
Therefore, graph will be rectangular hyperbola.