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The heat of combustion of ethane gas is ...

The heat of combustion of ethane gas is `368xx10^(3) cal mol^(-1)` . If 62 per cent of heat is useful, how many `m^(3)` of ethane measured at STP must be burnt to supply enough heat to convert `50kg` of water at `10^(@)C` to steam at `100^(@)C` ? Specific heat and heat of vaporisation of water are `1 cal //g` and `540 cal//g` respectively.

Text Solution

Verified by Experts

The correct Answer is:
3
`DeltaH` needed for charge `=DeltaH_(heati ng )+DeltaH_(vapo risation)`
`=5050xx10^(3)xx1xx90+540xx50xx10^(3)`
`=3.15xx10^(7)cal`
`DeltaH` actually needed `=(3.15xx10^(7)xx100)/(62)=5.08xx10^(7)`
`[` since only `62%` of heat is used to do work `]`
Now `368xx10^(3)cal` heat is given on combustion by `22.4` litre ethane.
`:.5.08xx10^(7)` heat given by `=(22.4xx5.08xx10^(7))/(368xx10^(3))`
`=3.09xx10^(3)litre=3.09m^(3)~~3.0m^(3)`
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