An ideal gaseous mixture of ethane (C_ 2 H_ 6 ) and ethene (C_ 2 H_ 4 ) occupies 28 litre at 1 atm and 273 ~K . The mixture reacts completely with 128 ~gO_ 2 to produce CO_ 2 and H_ 2 O . Mole fraction at C_ 2 H_ 6 in

Correct answer: B. 0.4 C_ 2 H_ 6 +3.5 O_ 2 2 CO_ 2 +3 H_ 2 O ;C_ 2 H_ 4 +3 O_ 2 2 CO_ 2 +2 H_ 2 O Let volume of ethane is x litre, 22.4 × 4=3.5 x+3(28-x) x=11.2 litre at constant T and P, V n ; Mole fraction of C_ 2 H_ 6 in mixture =(11.2)/(28)=0.4

BITSAT 2020

Exam: BITSAT
Year: 2020
Subject: Chemistry
Chapter: Some Basic Concepts of Chemistry

BITSAT 2020 · Chemistry · Some Basic Concepts of Chemistry

An ideal gaseous mixture of ethane (C_ 2 H_ 6 ) and ethene (C_ 2 H_...

An ideal gaseous mixture of ethane

\left(\mathrm{C}_{2} \mathrm{H}_{6}\right)

and ethene

\left(\mathrm{C}_{2} \mathrm{H}_{4}\right)

occupies 28 litre at 1 atm and

273 \mathrm{~K}

. The mixture reacts completely with

128 \mathrm{~g}\mathrm{O}_{2}

to produce

\mathrm{CO}_{2} and \mathrm{H}_{2} \mathrm{O} .

Mole fraction at

\mathrm{C}_{2} \mathrm{H}_{6}

in the mixture is:

Options

A0.6
B0.4
C0.5
D0.8

Correct answer

B. 0.4

Step-by-step solution

\mathrm{C}_{2} \mathrm{H}_{6}+3.5 \mathrm{O}_{2} \longrightarrow 2 \mathrm{CO}_{2}+3 \mathrm{H}_{2} \mathrm{O} ;\mathrm{C}_{2} \mathrm{H}_{4}+3 \mathrm{O}_{2} \longrightarrow 2 \mathrm{CO}_{2}+2 \mathrm{H}_{2} \mathrm{O}

Let volume of ethane is

\mathrm{x}

litre,

22.4 \times 4=3.5 \mathrm{x}+3(28-\mathrm{x})\Rightarrow \mathrm{x}=11.2

litre at constant

\mathrm{T}

and

\mathrm{P}, \mathrm{V} \propto \mathrm{n} ;\Rightarrow

Mole fraction of

\mathrm{C}_{2} \mathrm{H}_{6}

in mixture

=\frac{11.2}{28}=0.4

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