A student has found the following results from an experiment

A student has found the following results from an experiment on an unknown ideal gas. The molecular weight, specific heat at constant volume and specific heat at constant pressure are 8.314 kg/kmol, 2 kJ/kg-K and 4kJ/kg-K, respectively. Are these numbers possible? Please justify your answer with equation(s) and calculation(s).

Solution

>> Specific Heat at Constant Volume, C_v = 2 kJ/kg-K ,

and, Specific Heat at Constant Pressure, C_p = 4 kJ/kg-K

>> Molecular Weight = 8.314 kg/kmol

According to C. Equation,

C_p - C_v = R

As, R = 8.314/Molecular Weight = 1 kJ/kg-K

Putting in above equation all values can\'t satisfy these Equation.

So, these numbers are not possible