The molar heat capacity for an ideal gas at constant pressure is 20.785 J K^-1mol^-1. The change in internal energy is 5000 J upon heating it from 300K to 500K. The number of moles of the gas at cons…

Question

The molar heat capacity for an ideal gas at constant pressure is 20.785 J K^-1mol^-1. The change in internal energy is 5000 J upon heating it from 300K to 500K. The number of moles of the gas at constant volume is___[Nearest integer](Given: R = 8.314 J K^-1 mol^-1)

Accepted Answer

Correct answer: 2. (2) C_p._m ^= C_v,_m + R ⇒C_v,_m = 20.785 - 8.314 = 12.471 Jk^-1 ml^-1 ∆U = nC_v _m∆T ⇒n= 5 0 0 01 2.4 7 1×2 0 0= 2 51 2.4 7 1≈2

$The molar heat capacity for an ideal gas at constant pressure is 20.785 J K^{- 1} m o l^{- 1} . The change in internal energy is 5000 J upon heating it from 300K to 500K. The number of moles of the gas at constant volume is___[Nearest integer](Given: R = 8.314 J K^{- 1} m o l^{- 1})$

Solution

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