A gas occupies 0.418 litre at 740 mm of Hg and 27 °C. Calculate :
(a) its volume at STP
(b) molecular weight if gas weighs 3.0 g
(c) new pressure of gas if the weight of gas is increased to 7.5 g and temperature becomes 280 K
d) the volume of vessel at 300 K
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Explanation:
a) volume at STP is always 22.4 litre
b) molecular weight if gas weighs 3.0 g
PV=NRT→PV=M/MW×RT
P=740/760 ATM
T=27°C=300K
VOLUME=0.418L
740/760 × 0.418=3/MW × 0.0821×300
0.407=73.89/MW
0.407Mw=73.89
Mw=73.89/0.407=181.5g
c) pressure=?
M=7.5g,T=280K
Volume remained constant.
PV=NRT→PV=M/MW×RT
P×0.418=7.5/181.5×0.0821×280
P=0.948/0.418=2.27atm
d) Volume=?, T=300K
Others remained constant.
PV=M/MW×RT
740/760×V=3/181.5×0.0821×300
0.973V=0.406
V=0.406/0.973=0.417L
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