Question

one mole of Oxygen is heated at a constant pressure is zero degree celsius calculate the quantity of hear that should be supplied to the gas for the volume to be doubled the specific heat of Oxygen under these conditions is 0.218 calorie per gk​

Answer 1

The required heat is 1573.3 J

Explanation:

The process is isothermal so given heat is converted in work done and work done in this process is given by

Wi→f = −nRT ln Vf / Vi

We are given:

Vf = 2Vi and T = 0°C

n = 1 mole

Putting all these values we have:

Wi → f = −1 × 8.31446 × 273 ln 2Vi / Vi

Wi → f = − 8.31446 × 273 ln 2/1

Wi → f  = 2269.84 × 0.693

Wi → f = 1573.3 J

Thus the required heat is 1573.3 J

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Derive the relation for work done in isothermal process​ ?

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