Gaseous Benzene Reacts With Hydrogen Gas In ... - Tardigrade App

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4. Gaseous benzene reacts with hydrogen gas in presence of a nickel catalyst to form gaseous cyclohexane according to the reaction, C6 H6(g) + 3 H2 (g) → C6H12 (g) A mixture of C6H6 and excess H2 has a pressure of 60 mm of Hg in an unknown volume. After the gas had 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 at the same temperature. The fraction of C6H6 (by volume) present in the original volume is

Q. Gaseous benzene reacts with hydrogen gas in presence of a nickel catalyst to form gaseous cyclohexane according to the reaction, C6​H6​(g)+3H2​(g)→C6​H12​(g) A mixture of C6​H6​ and excess H2​ has a pressure of 60mm of Hg in an unknown volume. After the gas had been passed over a nickel catalyst and all the benzene converted to cyclohexane, the pressure of the gas was 30mm of Hg in the same volume at the same temperature. The fraction of C6​H6​ (by volume) present in the original volume is 3709 240 VITEEEVITEEE 2015 Report Error A

1/3

8% B

1/4

9% C

1/5

10% D

1/6

73%

Solution:

Suppose initially, pressure of C6​H6​(g)=p1​ mmand that of H2​(g)=p2​mm ∴p1​+p2​=60 mm ..... (i) After the reaction, Pressure of C6​H6​(g)=0 (as all has reacted) Pressure of H2​(g)=p2​−3p1​ Pressure of C6​H12​(g)=p1​ Total pressure =p2​−3p1​+p1​=30mm or, p2​−2p1​=30mm Solving (i) and (ii), we get p1​=10mm,p2​=50mm Fraction of C6​H6​ by volume = fraction of moles fraction of pressure =6010​=61​