Question 947: Thermodynamics & KTG

Question

One mole of an ideal gas expands adiabatically at constant pressure such that its temperature $$T \propto {1 \over {\sqrt V }}$$. The value of $$\gamma$$ for the gas is ($$\gamma  = {{{C_p}} \over {{C_v}}},V = $$ Volume of the gas)

Accepted Answer

For adiabatic process at constant pressure we have
TV$$^{\gamma-1}$$ = constant ...... (1)
Given $$T \propto {1 \over {\sqrt V }}$$
$$	herefore$$ TV$$^{1/2}$$ = constant
By (1) and (2) $$\gamma-1=\frac{1}{2}$$
$$\gamma=1.5$$

Answer

1.8

Answer

1.5

Answer

1.3

Answer

1.4

Thermodynamics & KTG

One mole of an ideal gas expands adiabatically at constant pressure such that its temperature $T \propto {1 \over {\sqrt V }}. The value of \gamma for the gas is (\gamma = {{{C_p}} \over {{C_v}}},V = $ Volume of the gas)

Choose the correct answer: