Question

Two sample of monatomic ideal gas are being kept at the same temperature and pressure in different containers. Container A has twice the volume of container B. What can you say about the internal energy of container A compared to container B?

a) The internal energy of container A is more than twice the internal energy of container B.

b) The internal energy of both containers is identical.

c) The internal energy of container A is twice the internal energy of container B.

d) the internal energy of container A is less than half the internal energy of container B.

e) The internal energy of container A is half the internal energy of container B.

Answer 1

using ideal gas equation :

PV = nRT

as P and T are same, then

n is directly proportional to V.

therefore, no of moles is double of A than of B.

Now, Internal energy is U is given by U = [where T = temperature, = molar heat capacity at constant volume, n = no of moles]

As both the gas is monoatomic at same temperature, then Internal Energy U depends only on no of moles.

Therefore, The internal energy of container A is twice the internal energy of container B. [answer] [option c]