a certain mass of an ideal gas at 9atm and 30 degree Celsius is first heated to 131 degree Celsius at constant volume and temperature.the final pressure of the gas become
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1
Correct option is
C
18 atm
P
1
=9 atm, T
1
=30
o
C=303K
T
2
=131
o
C=404K
Let initial moles be n
∴ Final moles=n+
2
n
=
2
3n
V
1
=V
2
=V (constant)
We know, PV=nRT
∴(
P
2
P
1
)(
V
2
V
1
)=(
n
2
n
1
)(
T
2
T
1
)
∴(
P
2
9
)(
V
V
)=
⎝
⎛
2
3n
n
⎠
⎞
(
404
303
)
∴(
P
2
9
)(1)=(
3
2
)(
4
3
)=
2
1
∴
P
2
9
=
2
1
∴P
2
=9×2=18 atm
Option C.
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