One kg of a diatomic gas is at a pressure of 8 × 10(4) N/m2. The density of the gas is 4 kg/m(3). What is the energy of the gas due to its thermal motion ?

Question

Arun · Answer

For a diatomic molecular gas, internal energy per molecule is U = 2 5 ​ N K B ​ T P V = N K B ​ T From equation is (i) and (ii) U = 2 5 ​ PV Here, P = 8 × 1 0 4 N m − 2 , ρ = 4 k g m − 3 , m = 1 kg ∴ U = 2 5 ​ × 8 × 1 0 4 × 4 1 ​ = 5 × 1 0 4 J

Vikas TU · Answer

Internal energy due to thermal motion is equal to 5/2 × P × V Mass = 1kg Density = 4kg / m^3 Volume = 1/5 m^3 Pressure = 8 × 10^4 n/m^2 Energy = 5/2 × 1/5 × 8 × 10^4 Answer =Energy = 4 × 10^4 Joules

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One kg of a diatomic gas is at a pressure of 8 × 10(4) N/m2. The density of the gas is 4 kg/m(3). What is the energy of the gas due to its thermal motion ?

One kg of a diatomic gas is at a pressure of 8 × 10(4) N/m2. The density of the gas is 4 kg/m(3). What is the energy of the gas due to its thermal motion ?

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