Question 81: Thermodynamics & KTG

Question

For an ideal gas, coefficient of volume expansion is given by

Accepted Answer

For an ideal gas coefficient of volume expansion can be deduced as
According to ideal gas equation,
$pV = nRT$ ..... (i)
at constant pressure, $p\Delta V = nR\Delta T$ ..... (ii)
Dividing Eq. (ii) by Eq. (i), we get
${{\Delta V} \over V} = {{\Delta T} \over T}$ ..... (iii)
But ${{\Delta V} \over V} = \alpha \Delta T$ .... (iv)
$	herefore$ From Eq. (iii) and (iv), we get
For ideal gas $\alpha  = {1 \over T}$
So, for an ideal gas, coefficient of volume expansion is given by ${1 \over T}$.

Answer

$\frac{1}{p}$

Answer

$\frac{1}{pV}$

Answer

$\frac{1}{R}$

Answer

$\frac{1}{T}$

Thermodynamics & KTG

For an ideal gas, coefficient of volume expansion is given by

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