\[ \begin{align} \Delta S = mc_p \ln \frac{T_2}{T_1} &= mc_p \ln \frac{ \frac{pV_2}{mR} }{ \frac{pV_1}{mR}} \\ &= mc_p \ln \frac{V_2}{V_1} \\ &=10 \times 1.006 \times \ln \frac{3.0}{1.0} \\ \therefore &= 11.05 \, \rm{kg/K} \end{align} \]