Calculate the weight of a substance X which in gaseous form occupies 10 litres at 27°C and 700mm pressure. The molecular weight of X is 60.
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Given :-
Initially :
- P1 = 700mm
- T1=27°C + 273 = 300K
- V1 =10 litres
Finally(stp) :
- P2 = 760mm
- T2 = 273k
To Find :-
- V2 = ????
Using the gas equation that is,
=> P1V1 = P2V2
=> 700×10/300 = 760×V2/273
=> 273×70=760×V2×3
=> 19110 = 2280×V2
=> 19110/2280= V2
=> 8.38 litres = V2
Therefore:-
60g of gas X occupies 22.4litres at STP
? g of gas occupies 8.38litres
So:-
=> 22.4 litres =60g
=> 1 litre = 60/22.4g
=> 8.38litres =8.38×60/22.4g =22.45g
Hence:-
- V2 = 8.38 litres and
- Weight of substance X is 22.45g.
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