Question
An ideal gas has a specific heat C = 2.5R. The gas is kept in a closed vessel of volume 0.008m3 at a temperature 300K and a pressure 1.5x106N/m2. If 6000 cal of heat is supplied to the gas, then find the final temperature and pressure of the gas. R = 2 cal/mole/K.
Solution
Volume of the gas is constant. Therefore the work done by gas is zero.
i.e. W = 0
Now, according to first law of thermodynamics,
The change in internal energy of an ideal gas is given by,
Also from gas equation,
We have,
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Here,
Final temperature,
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From perfect gas equation, at constant volume
T' and P' are the pressure and temperature of the gas respectively.
i.e. W = 0
Now, according to first law of thermodynamics,
The change in internal energy of an ideal gas is given by,
Also from gas equation,
We have,
Here,
Final temperature,
From perfect gas equation, at constant volume
T' and P' are the pressure and temperature of the gas respectively.
