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4.1 An ideal-gas mixture consists of methane, CH4, and 120% theoretical air at STP. For these conditions, calculate (a) constant-pressure mixture molar specific heat, kJ/kgmole. K; (b) constant-volume mixture molar specific heat, kJ/kgmole.K; (c) mixture specific heat ratio at STP, and (d) sonic velocity at STP, m/sec. 4.2 A mixture of hydrogen and air at a temperature of 1,000K has a corresponding sonic velocity of 1,200 m/sec. Determine (a) equivalence ratio for the mixture; (b) mixture molecular weight, kg/kgmole; (c) mixture specific heat ratio; and (d) mixture molar specific heats, kJ/kgmole.K. 4.3 Consider a one-dimensional steady-state and steady-sonic flow. Show that the speed of sound for these conditions can be related to the stagnation temperature by the relationship [24RTogo 7+1 4.4 A mixture of methane and air at STP has a specific heat ratio of 1.35. For these conditions, find (a) constant-pressure mixture molar specific, Btu/Ibmole-R; (b) reactant mixture mass fraction; (c) mixture sonic velocity at STP, ft/sec; and (d) mixture mass flux, lbm/sec. ft? 4.5 Show that, for Rayleigh flow, V (1+yN2, )(N2) (1 + r N2 N2) C=