5 moles of an ideal gas are allowed to expand from an initial state of \(110 \mathrm{dm}^{3}\) at \(320 \mathrm{~K}\) to a final state of \(150 \mathrm{dm}^{3}\) at \(430 \mathrm{~K}\). Estimate the change in entropy for the process, given that heat capacity at constant volume, \(C_{V}=(7 / 2) R\).