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Question: > A 40 ml of a mixture of H2 and O2 at 18<sup>0</sup>C and 1 atm pressure was sparked so that the fo...

A 40 ml of a mixture of H2 and O2 at 180C and 1 atm pressure was sparked so that the formation of water was complete. The remaining pure gas had a volume of 10 ml at 18ºC and 1 atm pressure. If the remaining gas was H2, the mole fraction of H2 in the 40 ml mixture is :

A

0.75

B

0.5

C

0.65

D

0.85

Answer

0.75

Explanation

Solution

(1)

H2 +1/2O2 \rightarrow H2O(l)

a b 0

a–2b 0 b

Reaction is studied at constant P &T.

a+b = 40 a–2b = 10

a = 30 ml b = 10ml

mole fraction of H2 = volume fraction of H2 =30/40 = 0.75.