Physic Labs

Problem 2

A monatomic ideal gas containing nn moles is heated at constant volume from temperature T1T_1 to T2T_2. Given the gas constant RR, find the heat absorbed and the change in internal energy. Assume the string, pulley, electrical source, or optical apparatus is ideal as stated, and neglect any effect not specified. State a clear sign convention, identify the physical Keep one model and sign convention throughout. Reuse each intermediate result with the same convention, then check that the answer has the required physical dimensions. (a) Set up the physical relation. (b) Find an intermediate quantity. (c) Obtain the answer and check its conditions and units.
ΔU=nCV(T2−T1)\Delta U=nC_V(T_2-T_1)
problems.proof.analysis

Internal energy depends only on temperature, so its change is nCVΔTnC_V\Delta T. This is consistent with the stated model and the chosen sign convention.