A $2923\mathrm{.}76$ g of liquid mixture containing $63$ wt$\%$ ethanol and $37$ wt$\%$ water is commonly used forphytochemicals separation. The liquid mixture must be heated below its bubble temperatureconstantly at $1$ atm.$($a$)$ Find the mole fraction of components in the liquid mixture.$($b$)$ Estimate the bubble temperature of this liquid mixture. $($Hint: the bubble temperature is between $800$C to $900$C$)($c$)$ Calculate the mole fraction of ethanol in the vapor phase at this bubble temperature obtained in part $($b$)($d$)$ What is the effect to the ethanol composition in vapor phase as temperature increases?