A non-conducting vessel containing n moles of a diatomic gas is fitted with a conducting piston. The cross-sectional area, thickness and thermal conductivity of piston are A, λ and K respectively. The right side of piston is open to atmosphere at temperature T 0 . Heat is supplied to the gas by means of an electric heater at a constant rate q.
(i) Temperature of gas as a function of time is:
(If initial temperature is T 0 )
Text Solution
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Ans.
(i)
Sol. Let at any instant t temperature is T. The net rate at which heat is absorbed by the gas is
= q – 
....(1)
Now, dQ = nC P dT = n × 
R × dT ....(2)
∴ n × 
R 
= q – 
or 
= 
(ii)
Sol. At maximum temperature
q = 
(T max – T 0 )
(iii)
Sol. As the process is isobaric
∴ 
= 
⇒ 
= 
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