Carbon Oxide $($CO$)$ initially occupying $1\mathrm{.}7m^3$ at $0\mathrm{.}4$ bar, $246\mathrm{.}85C$ undergoes an internally reversible expansion during which $p{V}^{1\mathrm{.}6}=$ constant to a final state where the temperature is $36\mathrm{.}85C.$ Assuming the ideal gas model, determine the entropy change, in Joules$/$K$.$