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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
States of Matter

NTA Abhyas 2020 · Chemistry · States of Matter

Gaseous benzene reacts with hydrogen gas in presence of a nickel...

Gaseous benzene reacts with hydrogen gas in presence of a nickel catalyst to form gaseous cyclohexane according to the reaction
C6H6(g)+3H2(g)→C6H12(g){C}_{6}{H}_{6\left(g\right)} + 3{H}_{2\left(g\right)} \to {C}_{6}{H}_{12\left(g\right)}
A mixture of C6H6{C}_{6}{H}_{6} and excess H2{H}_{2} has a pressure of 60 mm of Hg in an unknown volume. After the gas has been passed over a nickel catalyst and all the benzene converted to cyclohexane, the pressure of the gas was 30 mm of Hg in the same volume and temperature. The fraction of C6H6{C}_{6}{H}_{6} (by volume) present in the original volume is 1/y. The value of 'y' is

Correct answer

6

Step-by-step solution

Suppose initially, pressure of C6H6(g)=P1{C}_{6}{H}_{6}\left(g\right) = {P}_{1} mm and that of H2(g)=P2{H}_{2}\left(g\right) = {P}_{2} mm.
So P1+P2=60{P}_{1} + {P}_{2} = 60 mm …(i)
After the reaction
Pressure of C6H6(g)=0{C}_{6}{H}_{6}\left(g\right) = 0
Pressure of H2(g)=P2−3P1{H}_{2}\left(g\right) = {P}_{2} - 3{P}_{1}
Pressure of C6H12(g)=P1{C}_{6}{H}_{12}\left(g\right) = {P}_{1}
Total pressure =P2−3P1+P1=30= {P}_{2} - 3{P}_{1} + {P}_{1} = 30 mm
Or P2−2P1=30{P}_{2} - 2{P}_{1} = 30 mm …(ii)
Solving (i) and (ii) we get
P1=10{P}_{1} = 10 mm
P2=50{P}_{2} = 50 mm
Fraction of C6H6{C}_{6}{H}_{6}\left(g\right)byvolume=Fractionofmoles=Fractionofpressures<br/>by volume = Fraction of moles = Fraction of pressures <br/>= \dfrac{10}{60} = \dfrac{1}{6}
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