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How long (approximate) should water be e...

How long (approximate) should water be electrolysed by passing through 100 amperes current so that the oxygen released can completely burn 27.66g of diborane (atomic mass of B = 10.8 u)-

A

3.2 h

B

1.6 h

C

6.4 h

D

0.8 h

Text Solution

Verified by Experts

The correct Answer is:
A
`B_(2)H_(6)+3O_(2)rarr B_(2)O_(3)+3H_(2)O`
`27.66g of B_(2)H_(6)-=(27.66)/(27.6)~~"1 mol of "B_(2)H_(6)`.
`"no. of moles of "O_(2)" required = 3"`
`2H_(2)Orarr2H_(2)+O_(2)`
Electricity required for production of 1g - equiv or 8g of `O_(2)=1F.`
`therefore" 3 mol or 96 g of "O_(2)" requires 12 F of electrivity"`
`therefore" "100xxt=12xx96500" or, "t=(12xx96500)/(100xx3600)=3.2h`.
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