Volume of certain quantity of gas at N.T.P. is 12 litres. What will be the pressure exerted by same quantity of gas when enclosed in a gas cylinder of 10 litres at 273degree celsius?
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Explanation:
PV=nRT
PV=nRT=
m
w
RT
1×V=
120
12
×R×(273+t) (i)
1.1×V=
120
12
×R×(273+t+10) (ii)
Dividing equation (ii) by equation (i), we get
1.1=
(273+t)
(273+t+10)
or t=−173
∘
C
Putting this value in equation (i), we get
1×V=
120
12
×0.0821×(273−173)
or V=0.821L
∴V=x×1000=0.821×1000=821
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