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Please Show Work An ideal gas has a gas constant R = 0.3 kJ/kg-K and a constant-

ID: 1863345 • Letter: P

Question

Please Show Work


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 degree C, choose the correct answer for each of the following: The change in enthalpy is, in kJ/kg 30 70 100 insufficient information to determine Answer 100 The change in internal energy is, in kJ/kg 30 70 100 insufficient information to determine Answer 70 The work done is, in kJ/kg 30 70 100 insufficient information to determine Answer insufficient information to determine The heat transfer is, in kJ/kg 30 70 100 insufficient information to determine Answer insufficient information to determine 5 The change in the pressure-volume product is, in kJ/kg 30 70 100 insufficient information to determine

Explanation / Answer

change in enthalpy = Cp*dT

Cp - Cv = R => Cp = 1kJ/kg.K    change in temperature is same in kelvin and degree centigrade

enthalpy change = 1*100 = 100kJ/kg

change in internal energy = Cv*dT = 0.7*100 = 70kJ/kg

since the type of process was not given we cannot find work done and heat transfer

H = U + PV

dH = dU + d(PV)

d(PV) = dH - dU = 100 - 70 = 30kJ/kg

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