Amonatomic ideal gas that is initially at a pressure of 1.50 x 10^5 pa and has a volume of 0.08 m^3 is compressed adiabatically to a volume of 0.0400 m^3.
(a) what is the final pressure?
(b) how much work is done by the gas?
(c) what is the ratio of the final temperature of the gas to its initial temperature? is the gas heated or cooled by this compression?

final pressure is .

.

and gas is heated.

Explanation:

We know for mono atomic gas  , .

We know for adiabatic process,

.

Putting all values we get :

P_2=

Therefore final pressure is .

Now,

  Work Done for adiabatic process is , .

Putting all given values we get:

.

Now,

We know , .

Putting all given values , we get.

.

SInce the ratio of temperature of final and initial temperature of gas is 1.59.

So, Final temperature is more.

Therefore, Gas is heated.