Q10 / 90 · JEE Main 2016 (09 Apr Online) · Chemistry

$5 L$ of an alkane requires $25 L$ of oxygen for its complete combustion. If all volumes are measured at constant temperature and pressure, the alkane is

A
Isobutane
B
Ethane
C
Butane
Correct answer
D
Propane

Solution

Combustion of Hydrocarbon,

C_{x} H_{y} + (x + \frac{y}{4}) O_{2} \to x {CO}_{2} + \frac{y}{2} H_{2} O

∴ n \propto v (P, T = C o n s t a n t)

for 1 mole of CxHy = (x + \frac{y}{4})

,

O_{2} required

for 5 L of CxHy = (x + \frac{y}{4}) 5 L, O_{2} required

∴ ratio of alkane and O_{2} is 5 / 25

So, (x + \frac{y}{4}) 5 = 25

x + \frac{y}{4} = 5

,

which is satisfied by C_{3} H_{8}

.

Hence, the correct answer is option: 'D'.

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