Calculate the final temperature of the combustion gases formed when $0\mathrm{.}6$ kg$/$min of methane at $20\backslash$deg C is burned adiabatically $($without heat losses$)$ with a gas stream having a flow rate of $30$ kg$/$min and a temperature of $95\backslash$deg C$.$ Recalculate the temperature again assuming heat losses of $10\%.$