Problem $5$

In Ja steady$-$state process, steam enters a heat exchanger at $100$ kPa with a quality of $80\%$ and exits as saturated liquid at the same pressure. Meanwhile, a separate oil stream flows through the exchanger at a rate of $25k\frac{g}{s},$ heating up from $30C$ to $100C$ without significant pressure change. The oil has a specific heat capacity of $2\mathrm{.}0k\frac{J}{k}g*K.$ Assuming that kinetic and potential energy changes are negligible, and $10\%$ of the heat needed to warm the oil is lost to the surroundings, calculate the mass flow rate of the steam, in kg$/$s$.$Problem $5$

In Ja steady$-$state process, steam enters a heat exchanger at $100$ kPa with a quality of $80\%$ and exits as saturated liquid at the same pressure. Meanwhile, a separate oil stream flows through the exchanger at a rate of $25k\frac{g}{s},$ heating up from $30C$ to $100C$ without significant pressure change. The oil has a specific heat capacity of $2\mathrm{.}0k\frac{J}{k}g*K.$ Assuming that kinetic and potential energy changes are negligible, and $10\%$ of the heat needed to warm the oil is lost to the surroundings, calculate the mass flow rate of the steam, in kg$/$s$.$