The volume of 1.5 kg of helium in a frictionless piston-cylinder device is initially 6 m3. Now, helium is compressed to 2 m3 while its pressure is maintained constant at 200 kPa. Determine the initial and final temperatures of helium, as well as the work required to compress it, in kJ.

The initial temperature will be "385.1°K" as well as final will be "128.3°K".

Explanation:

The given values are:

Helium's initial volume, v₁ = 6 m³

Mass, m = 1.5 kg

Final volume, v₂ = 2 m³

Pressure, P = 200 kPa

As we know,

Work,

On putting the estimated values, we get

⇒            

⇒            

⇒            

Now,

Gas ideal equation will be:

⇒  

On putting the values. we get

⇒  

⇒  

⇒       (Initial temperature of helium)

and,

⇒  

On putting the values, we get

⇒  

⇒  

⇒       (Final temperature of helium)

answer:

2d

explanation: