An ideal gas has a gas constant R = 0.3 kJ/kg-K and a constant-volume specific heat Cv = 0.7 kJ/kg-K. If the gas has a temperature change of 100 degrees C, what is the change in enthalpy?Question 2Select one:a.30 kJ/kgb.70 kJ/kgc.100 kJ/kgd.insufficient information to determine
Question
An ideal gas has a gas constant R = 0.3 kJ/kg-K and a constant-volume specific heat Cv = 0.7 kJ/kg-K. If the gas has a temperature change of 100 degrees C, what is the change in enthalpy?Question 2Select one:a.30 kJ/kgb.70 kJ/kgc.100 kJ/kgd.insufficient information to determine
Solution
The change in enthalpy (∆H) for an ideal gas can be calculated using the formula:
∆H = Cp * ∆T
Where: Cp is the specific heat at constant pressure, ∆T is the change in temperature.
The relationship between Cp, Cv, and R for an ideal gas is given by:
Cp = Cv + R
Substituting the given values:
Cp = 0.7 kJ/kg-K + 0.3 kJ/kg-K = 1.0 kJ/kg-K
Then, substituting Cp and ∆T into the ∆H formula:
∆H = 1.0 kJ/kg-K * 100 K = 100 kJ/kg
So, the change in enthalpy is 100 kJ/kg. The correct answer is c. 100 kJ/kg.
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