A gas of 1.30×1020 atoms or molecules has 0.800 Jof thermal energy. Its molar specific heat at constant pressure is 20.8 J/mol K.
What is the temperature of the gas?
thermal energy = n Cv T
Cp - Cv = R
R = 8.314 J /mol K
Cv = 20.8 - 8.314 = 12.486 J/mol K
mol = 1.30 x 10^20 / Na
NA = avagadro number = 6.022 x 10^23
mol n = 2.16 x 10^-4 mol
0.800 = 2.16 x 10^-4 x 12.486 x T
T = 296.63 K
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