The compressor exerts a pressure of 400 Pa to compress nitrogen gas from 3 L to 1 L. If no heat transfer occurs, how much will the internal energy of the gas change? (Note: 1 m3 = 1000 L.)

0.79014 J

Explanation:

According to the first law of thermodynamics:-

Where,  

U is the internal energy

q is the heat

w is the work done

From the question,

q = 0 J

The expression for the calculation of work done is shown below as:

Where, P is the pressure

is the change in volume

From the question,  

= 3 - 1 L = 2 L

P = 400 Pa

The expression for the conversion of pressure in Pascal to pressure in atm is shown below:

P (Pa) = P (atm)

Given the value of pressure = 43,836 Pa

So,  

400 Pa = atm

Pressure = 0.0039 atm

Also, 1 atmL = 101.3 J

So,  

(work is done by the system)

So,