The constant pressure molar heat capacity, C_{p,m}C p,m ​ , of nitrogen gas, N_2N 2 ​ , is 29.125\text{ J K}^{-1}\text{ mol}^{-1}29.125 J K

Question

The constant pressure molar heat capacity, C_{p,m}C p,m ​ , of nitrogen gas, N_2N 2 ​ , is 29.125\text{ J K}^{-1}\text{ mol}^{-1}29.125 J K −1 mol −1 at 298\text{ K}298 K. Calculate the change in the internal energy when 20\text{ mol}20 mol of nitrogen gas at 298\text{ K}298 K is heated so that its temperature increases by 15.0^{\circ}\text{C}15.0 ∘ C. You may assume constant heat capacity over the temperature range.

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Yến Oanh 3 years 2021-08-03T10:01:12+00:00 1 Answers 292 views 0

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  1. bonexptip
    0
    2021-08-03T10:03:02+00:00
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    Answer:

    Explanation:

    Constant pressure molar heat capacity Cp = 29.125 J /K.mol

    If Cv be constant volume molar heat capacity

    Cp – Cv = R

    Cv = Cp – R

    = 29.125 – 8.314 J

    = 20.811 J

    change in internal energy = n x Cv x Δ T

    n is number of moles , Cv is molar heat capacity at constant volume ,  Δ T is change in temperature

    Putting the values

    = 20 x 20.811 x 15

    = 6243.3 J.

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