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a. A cylinder of gas is assumed to conta...

a. A cylinder of gas is assumed to contain `11.2 kg` of butane. If a normal family needs `20000kJ` of energy per day for cooking, how long will the cylinder last? Given that the heat of combustion of butane is `2658 kJ mol^(-1)`.
b. If the air supply of the burner is insufficient (i.e. you have a yellow instead of a blue flame), a portion of the gas escape without combustion. Assuming that `33%` of the gas is wasted due to this inefficiency, how long would the cylinder last?

Text Solution

Verified by Experts

`C_(4)H_(10)(g) + 13/2 O_(2)(g) to 4CO_(2)(g) + 5H_(2)O(g), DeltaH = -2658` kJ
Molecular weight of `C_(4)H_(10) = 58` g/moles.
`therefore 11.2` kJ of butane on combustion produces `(2658 xx 10^(3) xx 11.2)/58` J
Family needs 20,000 kJ of energy per day.
`therefore` No. of days `=(2658 xx 10^(3) xx 11.2)/(58 xx 20,000) = 25.66` days.
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