Question

An ideal gas is pumped into a rigid container having diathermic walls so that the temperature remains constant. In a certain time interval, the pressure in the container is doubled. Is the internal energy of the contents of the container also doubled in the interval ?

Answer 1

Answer:

Yes, the internal energy will also be doubled.

Explanation:

The number of moles, n are continuously increasing, as ideal gas is continuously being pumped into the container.

if P1 = Initial Pressure

P2 = Pressure after some time.  

At a stage Pressure,

P2 = 2P1

Therefore,

n2 = 2n1

Thus, internal energy, U = nCvT will double as the number of moles get doubled.

Answer 2

Explanation:

A constant injection of an ideal gas into the pipe. Therefore the number of moles, n is increasing continuously. In a given interval,

P is pressure  

$\begin{aligned}&\mathrm{P}_{2}=2 \mathrm{P}_{1}\\&\mathrm{n}_{2}=2 \mathrm{n}_{1}\end{aligned}$

Therefore, internal resources,  Is going to double as the number of moles doubles.

Ideal gas:-

An ideal gas is described as one in Which all collisions between atoms or molecules are completely elastic, and there are no inter-molecular attractive forces. One can imagine it as a series of colliding perfectly hard spheres but otherwise not interacting with each other.