Question: what is the relationship between temperature and enthalpy for an ideal gas?
Answer: An ideal gas has no inter-molecular interactions. This means that the energy U of an ideal gas depends only on kinetic and not potential energy. As a result the energy U depends only on temperature T. The enthalpy H is defined as H=U+PV, but for an ideal gas PV=nRT so, for an ideal gas, H=U+nRT.