During an adiabatic process, pressure of a gas is found to be proportional to cube of its absolute t

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11.Thermodynamics

normal

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio ${C_p}/{C_v}$ for the gas is

$1.5$

$1.33$

$2$

$1.67$

Solution

(a) Given $P \propto {T^3}$, but we know for an adiabatic process, the pressure $P \propto {T^{\gamma /\gamma – 1}}$
So $\frac{\gamma }{{\gamma – 1}} = 3 \Rightarrow \gamma = \frac{3}{2} \Rightarrow \frac{{{C_P}}}{{{C_V}}} = \frac{3}{2}$

Standard 11

Physics

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normal

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normal

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio ${C_p}/{C_v}$ for the gas is

Solution

Similar Questions

The efficiency of a Carnot's engine, working between steam point and ice point, will be $….\,\%$

The internal energy change in a system that has absorbed $2\,\, kcal$ of heat and done $500\, J$ of work is ……….. $\mathrm{J}$

An ideal heat engine operates on Carnot cycle between $227\,^oC$ and $127\,^oC$. It absorbs $6 \times 10^4\, cal$ at the higher temperature. The amount of heat converted into work equals to

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