Calculate the gas constant of air, Physics

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a)  The molar mass of air is 28.97 kg/kmol and the universal gas constant is 8.314 kJ/(kmolK).  Show by calculation that the particular gas constant of air is around 0.287 kJ/(kgK).   

b)  The values of Cp and k for an ideal gas are 0.846 kJ/(kgK) and 1.289 respectively.  What are the values of R and Cv for that gas?

c)  What is the change in enthalpy and internal energy when nitrogen is heated from 300K to 400K?  Assume that nitrogen behaves as an ideal gas, Cv is 0.743 kJ/(kgK) and Cp is 1.039 kJ/(kgK).


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