When 5 litres of a gas mixture of methane and propane is perfectly combusted at `0^(@)C` and 1 atmosphere, 16 litre of oxygen at the same temperature and pressure is consumed. The amount of heat released from this combustion in kJ`(Delta H_(comb) (CH_(4)) = 890 kJ mol^(-1), Delta H_(comb) (C_(3)H_(8)) = 2220 kJ mol^(-1))` is

Options

A. 38
B. 317
C. 477
D. 32

Answer

B

Explanation

`underset(X)(CH_(4)) + underset(2X)(2O_(2)) rarr CO_(2) + 2H_(2)O`
`underset((5-x))(C_(3)H_(8)) + underset(5(5-x))(5O_(2)) rarr 3CO_(2) + 4H_(2)O`
`2x + 5(5-x)= 16`
`rArr x=3L`
`therefore` Heat released `=(3)/(22.4) xx 890 + (2)/(22.4) xx 2220= 317`