a$)0\mathrm{.}5k\frac{g}{s}$ of carbon dioxide gas at $177C$ is used to produce saturated steam at $100C$ and $1$atm. Liquid water at $100C$ and $1$atm is fed into a reboiler whereas the carbon dioxide gas exits at $127C$ and $1$atm.

b$)$ High$-$pressure steam at $\frac{40}{b}ar$ and $400C$ is used to heat $10mo\frac{l}{s}$ of carbon dioxide from $150C$ to $300C$ in a heat exchanger. The steam exits as saturated vapor and the heat exchanger is well insulated.

Determine

i$)$ rate of heat transferred from the carbon dioxide to the water $\frac{?}{\text{s}\text{t}\text{e}\text{a}\text{m}(kW)},$

ii$)$ the mass flow rate of the steam.