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A mixture of hydrogen and oxygen at 1 ba...

A mixture of hydrogen and oxygen at `1` bar pressure contains `20%` of hydrogen by weight. Calculate the partial pressure of hydrogen.

A

`1.0 bar`

B

`0.2 bar`

C

`0.8 bar`

D

`0.5 bar`

Text Solution

Verified by Experts

The correct Answer is:
C
Consider `100 g` of mixture , we have
`m_(H_(2)) = 20 g` and `m_(O_(2)) = 80 g`
`:. N_(H_(2)) = (m_(H_(2)))/(M_(H_(2))) = (20 g)/(2 g mol^(-1)) = 10 mol`
`n_(O_(2)) = (80 g)/(32 mol^(-1)) = 2.5 mol`
According to Dalton's law,
`p_(H_(2)) = chi_(H_(2)) = ((n_(H_(2)))/(n_(H_(2) + n_(O_(2)))))(p_(t o tal))`
`= ((10)/(10 + 2.5)) (1 ba r) = 0.8 ba r`
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