The temperature of 1 mole of an ideal monoatomic gas is increased by 5 0 ∘ C at constant pressure. The total heat added and change in internal energy are E 1 and E 2 , respectively. If E 2 E 1

Question

The temperature of 1 mole of an ideal monoatomic gas is increased by 5 0 ∘ C at constant pressure. The total heat added and change in internal energy are E 1 ​ and E 2 ​ , respectively. If E 2 ​ E 1 ​ ​ = 9 x ​ then the value of x is _____

TestHub · Accepted Answer

Given that process is isobaric Δ T = 5 0 ∘ C Q in isobaric process = nC p ​ Δ T = E 1 ​ Δ U in isobaric process = nC v ​ Δ T = E 2 ​ ∴ E 2 ​ E 1 ​ ​ = C v ​ C P ​ ​ = γ Given, gas is monoatomic ∴ γ ​ = 1 + f 2 ​ = 1 + 3 2 ​ = 3 5 ​ ​ Now, as per question. ​ 3 5 ​ = 9 x ​ x = 15 ​

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