Question $3($Total: $8$ marks$)$

A liquid stream containing $50\mathrm{.}0$mol$\%$ n$-$pentane and the balance n$-$hexane at $25C$ flows into a heater where it is heated to $300C.$ The heated mixture exiting the heater is entirely in the vapor state. Calculate the heat required for the above process. Assume that the process occurs at a pressure of $1$ atm. Show the detailed calculations for all steps!