Question

One kg of a diatomic gas is at a pressure of 8×10⁴ Nm⁻² . The density of the gas is 4kgm⁻³ . what is the energy of the gas due to its thermal motion . [AIEEE 2009] ​

Answer 1

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Answer 2

Explanation :- Thermal energy corresponds to internal energy

mass = 1kg

density = 4kgm⁻³

⟹ volume = mass/density = 1/4m³

pressure =8× 10⁴N/M⁻²

As internal energy = f/2 nrt = f/2pv

degree of freedom for diatomic = 5

∴ internal energy = 5/2p× v

putting the values of p = 8× 10⁴Nm⁻² and V = 1/4m³ , we get

internal energy = 5/2×8×10⁴ = 5× 10⁴J