The molar internal energy () of a non-ideal gas confined in a rigid vessel follows the relation , wh — Thermodynamics and Thermochemistry Chemistry Question

Question

The molar internal energy ($U$) of a non-ideal gas confined in a rigid vessel follows the relation $U = a + bT + cT^2$, where $a = 20, b = 10, c = 0.02$ in standard SI units. Calculate the entropy change ($\Delta S$) when one mole is heated from 200 K to 400 K. ($\ln 2 = 0.7$)