GATE Mechanical Engineering (ME) 2020 Shift 2 Solved Paper

Moist air at $105\mathit{k}\mathit{P}\mathit{a},{30}^{\circ }\mathit{C}$ and $80\%$ relative humidity flows over a cooling coil in an insulated air-conditioning duct. Saturated air exits the duct at $100\mathit{k}\mathit{P}\mathit{a}$ and ${15}^{\circ }\mathit{C}$. The saturation pressures of water at ${30}^{\circ }\mathit{C}$ and ${15}^{\circ }\mathit{C}$ are $4.24\mathit{k}\mathit{P}\mathit{a}$ and $1.7\mathit{k}\mathit{P}\mathit{a}$ respectively. Molecular weight of water is $18\mathit{g}/\mathit{m}\mathit{o}\mathit{l}$ and that of air is $28.94\mathit{g}/\mathit{m}\mathit{o}\mathit{l}$. The mass of water condensing out from the duct is ___________$\mathit{g}/\mathit{k}\mathit{g}$ of dry air (round off to the nearest integer).