Saturated steam at a pressure of $2\mathrm{.}8$ bar is to be used to heat a stream of methane. The methane enters the heat exchanger at $20\backslash$deg C a rate of $710$ m$3/$min and a pressure of $3$ bar and is heated at constant pressure to $90\mathrm{.}5\backslash$deg C$.$ The steam condenses and leaves the exchanger as a liquid at $25\backslash$deg C$.$ The heat capacity of methane is $2\mathrm{.}2$ kJ$/($kg K$).$ How much steam is required in kg$/$s$?$

Assume methane is an ideal gas and has a molecular weight of $16$ g$/$mol$.$

using properties of saturated steam table