Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?

Question

Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

We know PV = nRT or (1/ T )=( nR / PV ) Since, P is constant, P Δ V = nR Δ T (or) (Δ V /Δ T )=( nR / P ) Coefficient of volume expansion αv=(Δ V/V Δ T) αv=( nR / PV )=(1/ T )

Q. Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?

We know PV $= n RT$ or $\frac{1}{T} = \frac{n R}{P V}$
Since, $P$ is constant, $P Δ V = n R Δ T$
(or) $\frac{Δ V}{Δ T} = \frac{n R}{P}$
Coefficient of volume expansion $α_{v} = \frac{Δ V}{V Δ T}$
$α_{v} = \frac{n R}{P V} = \frac{1}{T}$

Q. Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?

We know PV =nRT or T1​=PVnR​ Since, P is constant, PΔV=nRΔT (or) ΔTΔV​=PnR​ Coefficient of volume expansion αv​=VΔTΔV​ αv​=PVnR​=T1​

We know PV $= n RT$ or $\frac{1}{T} = \frac{n R}{P V}$
Since, $P$ is constant, $P Δ V = n R Δ T$
(or) $\frac{Δ V}{Δ T} = \frac{n R}{P}$
Coefficient of volume expansion $α_{v} = \frac{Δ V}{V Δ T}$
$α_{v} = \frac{n R}{P V} = \frac{1}{T}$