The ideal gas heat capacity of nitrogen varies with temperature; it is specific heat at const pressure Cp=29.42-(2.17*10^-3)T + (0.0582*10^-5)T*T+ (1.305 *10^-8)T*T*T+ (0.823 *10^-11)T*T*T*T
, with T equal to the temperature in Kelvin and Cp P is in J/mol · K.
How much internal energy (per mole) must be added to nitrogen to increase its
temperature from 450 K to 500 K at low pressure?
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