My answer is correct but I need more detail about my answer, so watch the professor's comment and write your solution more detail. I attach the question and the professor's comment. I attach my solution and comment 2. Consider two cylinders of gas identical in all respects except that one contains diatomic gas and the other a monoatomic gas. Both cylinders initially contain the same volume of gas at 0°C and 1 atm of pressure and are closed  by a movable piston at one end. Both gases are now compressed adiabatically to one-fourth their original volume.  (i) Which gas will show the smaller temperature increase? (Hint: Think about degrees of freedom.) a. the diatomic gas b. the monoatomic gas c. Neither; both will show the same increase. d. It is impossible to tell from the information given. (ii) Which gas will show the greater pressure increase? a. the diatomic gas b. the monoatomic gas c. Neither; both will show the same increase. d. It is impossible to tell from the information given

My answer is correct but I need more detail about my answer, so watch the professor's comment and write your solution more detail. I attach the question and the professor's comment. I attach my solution and comment

2. Consider two cylinders of gas identical in all respects except that one contains diatomic gas and the other a monoatomic gas. Both cylinders initially contain the same volume of gas at 0°C and 1 atm of pressure and are closed 
by a movable piston at one end. Both gases are now compressed adiabatically to one-fourth their original volume. 
(i) Which gas will show the smaller temperature increase? (Hint: Think about degrees of freedom.)
a. the diatomic gas
b. the monoatomic gas
c. Neither; both will show the same increase.
d. It is impossible to tell from the information given.
(ii) Which gas will show the greater pressure increase?
a. the diatomic gas
b. the monoatomic gas
c. Neither; both will show the same increase.
d. It is impossible to tell from the information given