Answer : The value of q, w, ΔU and ΔH for the process is, 0 J, -7.78 kJ, -7.78 kJ and -12.97 kJ respectively.
Explanation :
First we have to calculate the final temperature of the gas.
Using poission equation:

where,
= initial pressure = 14.7 bar
= final pressure = 1.00 bar
= initial temperature = 305 K
= final temperature = ?

Now put all the given values in the above expression, we get:


Now we have to calculate the q, w, ΔU and ΔH for the process.
As we know that, at adiabatic process the value of q=0. So,




Now we have to calculate the value of 

Now we have to calculate the value of ΔH.




Thus, the value of q, w, ΔU and ΔH for the process is, 0 J, -7.78 kJ, -7.78 kJ and -12.97 kJ respectively.