The volume of a gas at 20°C is 100CC at normal pressure when it is heated to 100°C its volume is 125CC at the same pressure thevolume coeficient of the gas is
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Answer:
Given: Volume of gas at 20
o
C is 100 cc, and volume at 100
o
C is 125 cc. Pressure is same throughout the process.
Solution:
Let, v
i
be the initial volume and v
f
be the final volume and △T be the temperature difference.
∴ △T=100−20=80
o
C
We know that v
f
=v
i
(1+γ△T), where γ is volume coefficient of the gas.
Putting v
i
=100, v
f
=125, $${\triangle T}$$=80, we get
125=100(1+80γ)
∴γ=
320
1
The closest answer in the option is
300
1
o
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