A monatomic ideal gas with volume 0.230 L is rapidly compressed, so the process can be considered adiabatic. If the gas is initially at 1.01 105 Pa and 3.00 102 K and the final temperature is 489 K, find the work done by the gas on the environment, Wenv.

The value is      

Explanation:

From the question we are told that

     The volume is  

      The initial  pressure is  

      The initial  temperature is  

       The final temperature is  

 Generally for an adiabatic process the workdone is mathematically represented as

Here   is the internal energy of the system which is mathematically represented as

So      

Generally from ideal gas equation we have that

Here  R is the gas constant with value  

So

=>              

So  

=>