Start Free Mock LoginAlready registered? Login here

Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermodynamics Laws & Specific Heats of GasesHard2 minQB

PhysicsHardnumerical

An ideal gas with $γ = 1.4$ undergoes a process in which its internal energy depends on volume as $U = a V^{4}$ . Find its molar heat capacity in this process in units of $R$ .

Answer:

2.75

Solution:

$U = \frac{P V}{γ - 1}$ , so $P = (γ - 1) a V^{3}$ and $W = \int P d V = \frac{γ - 1}{4} Δ U$ . $Q = Δ U [1 + \frac{γ - 1}{α}]$ with $α = 4$ . $C = \frac{R}{γ - 1} + \frac{R}{α} = 2.5 R + 0.25 R = 2.75 R$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermodynamics Laws & Specific Heats of Gases

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...