The volume thermal expansion coefficient of an ideal gas at constant pressure is

Question

The volume thermal expansion coefficient of an ideal gas at constant pressure is (A) T (B) T-2 (C) T-1 (D) T2

Tardigrade Admin · Accepted Answer

For n moles of ideal gas PV = nRT For constant pressure PdV = nRdT d V = ( (nR/P) ) dT = ( (V/T) ) dT ...(i) If &gamma; be the coefficient of volume expansion dV = &gamma; V dT ...(ii) From (i) and (ii) &gamma; = T-1

Q. The volume thermal expansion coefficient of an ideal gas at constant pressure is

$T$

$T^{- 2}$

$T^{- 1}$

$T^{2}$

For $n$ moles of ideal gas $P V = n RT$
For constant pressure $P d V = n R d T$
$d V = (\frac{n R}{P}) d T = (\frac{V}{T}) d T$ ...(i)
If $γ$ be the coefficient of volume expansion $d V = γ V d T$ ...(ii)
From (i) and (ii) $γ = T^{- 1}$

Q. The volume thermal expansion coefficient of an ideal gas at constant pressure is

T

T−2

T−1

T2

For n moles of ideal gas PV=nRT For constant pressure PdV=nRdT dV=(PnR​)dT=(TV​)dT ...(i) If γ be the coefficient of volume expansion dV=γVdT ...(ii) From (i) and (ii) γ=T−1

$T$

$T^{- 2}$

$T^{- 1}$

$T^{2}$

For $n$ moles of ideal gas $P V = n RT$
For constant pressure $P d V = n R d T$
$d V = (\frac{n R}{P}) d T = (\frac{V}{T}) d T$ ...(i)
If $γ$ be the coefficient of volume expansion $d V = γ V d T$ ...(ii)
From (i) and (ii) $γ = T^{- 1}$