Question

Internal energy and pressure of a gas per unit volume are
related as :
(a) P = 2/3E (b) P = 3/2E (c) P = 1/2E (d) P = 2E

Answer 1

The internal energy and pressure of a gas per unit volume are  related as P = 2 E / 3

Explanation:

For an ideal gas,

PV = nRT

At unit volume, i.e. V=1

P = RT

Now, according to Kinetic Theory of Gases we know that

Internal Energy, E = 3 / 2 RT

i.e. E = 3 / 2 P      (as P=RT)

or P = 2 E / 3

Thus the internal energy and pressure of a gas per unit volume are

related as P = 2 E / 3.

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What would be the work done on/by the system if the internal energy of the system falls by 100 joules even when 200 joules of heat is supplied to it  ?

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Answer 2

Answer:

P = 2/3E

Explanation:

the relation of Internal energy and pressure of a gas per unit volume is P = 2/3E