A11.7-g sample of methane (ch4) reacts with 46.7 g of oxygen gas in a container fitted with a piston (at 1.00 atm and 436 k). methane can react with oxygen to form carbon dioxide and water vapor or carbon monoxide and water vapor. after the combustion reaction is complete, the gas density at the given conditions is observed to be 0.7215 g/l. calculate the mole fraction of methane that reacts to form carbon monoxide rather than carbon dioxide

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answer: semi-infinite solid initially at a uniform temperature of 400 ◦c is cooled at its surface by convection. the cooling fluid at a constant temperature of 200 ◦c has a convective coefficient (ha) of 250 w/m2.k. the physical properties of the solid: k = 20 w/m.k and α = 4 * 10-5  m2/s. using δx = 0.04 m and δt = 10 s. write the finite difference equations describing the transient heat transfer of the first five δx and the temperature profile after 30 s.