al of heat is given in the pr
At 8 atm pressure a monoatomic gas expands from 2 litre to 5 litre then calculate the following
WRIST
(a)
Work done by the gas
(b)
Increase in internal energy
Amount of heat supplied
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11th
Chemistry
Thermodynamics
Enthalpy
The pressure of a monoatomi...
CHEMISTRY
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Asked on December 20, 2019 by
Harvinder Pujari
The pressure of a monoatomic gas increases linearly from 4×10
5
Nm
−2
to8×10
−5
Nm
−2
when its volume increases from 0.2m
3
to 0.5m
3
. calculate (a) work done by the gas, (b) increase in internal energy (c) mass of heat supplied and (d) molar heat capacity of the gas.
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ANSWER
P
1
=4×10
5
Nm
−2
V
1
=0.2m
3
P
2
=8×10
−5
Nm
−2
V
2
=0.5m
3
a) Work done = Area under P-V graph
area(ABCDEA)
= area of △ABC + area of rectangle ACDE
=
2
1
(BC×AC)+area(ACDE)
=
2
1
(4×10
5
×0.3)+(0.3×4×10
5
)
=180000J
=1.8×10
5
J
b) Since it is a monoatomic gas ⇒C
V
=
2
3
R
Increase in internal energy :
△U=[C
V
(T
2
−T
1
)−
R
C
V
R(T
2
−T
1
)+
R
C
V
(P
2
V
2
−P
1
V
1
)]
△U=
R
C
V
(P
2
V
2
−P
1
V
1
)
=
2
3
[(8×10
5
)(0.5)−(4×10
5
)(0.2)]
=4.8×10
5
J
c) Heat supplied θ=△U+W
=4.8×10
5
+1.8×10
5
=6.6×10
5
J
d) Molar heat capacity
C=
△T
θ
=
R△T
θR
=
(P
2
V
2
−P
1
V
1
)
θR
=
[(8×10
5
)(0.5)−(4×10
5
)(0.2)]
6.6×10
5
×8.31
=17.14Jmol
−1
K
−1