NH$3$ is recovered from a gas stream composed of N$2$ and NH$3.$ The gas stream

containing $10$ mol$\%$ NH$3$ and $90$ mol$\%$ N$2$ is flowing upward through a process at a rate of $1000$ kg$/$hr$.$ Flowing downward through the process is a liquid stream that can contain NH$3$ and solvent but not N$2.$ The pure liquid solvent is entering the process at a rate of $1000$ kg$/$hr$.$ If the ratio of the weight of NH$3$ in the gas stream leaving the process to the fraction of NH$3$ in the liquid stream leaving the process is $2\mathrm{.}00,$ calculate the flow rates and compositions of gas and liquid stream leaving the process.