Question

Equation of a gas is given by (T⁷/P²)^1/5 = constant. Coefficient of volume expansion of that gas in isobaric process is –

• A. $- \frac{1}{T}$
• B. $- \frac{1.5}{T}$
• C. $- \frac{2.5}{T}$
• D. $- \frac{3.5}{T}$

Answer 1

Answer: (C)

$- \frac{2.5}{T}$

Answer 2

$P^{- \frac{2}{5}}$= C ; $\left( \frac{nRT}{V} \right)^{- \frac{2}{5}}$= C

$T^{\frac{7}{5} - \frac{2}{5}}$ $V^{\frac{2}{5}}$= C ; $TV^{\frac{2}{5}}$= C

ln T + $\frac{2}{5}$ln V = ln C

$\frac{\Delta T}{T}$+$\frac { 2 } { 5 }$ $\frac{\Delta V}{V}$= 0 ; $- \frac{5}{2T}$ = $\frac{\Delta V}{V\Delta T}$ = g

g = – $\frac{2.5}{T}$