1. 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 (no heat is allowed in or out of the system) to one-fourth their original volume. (i) Which gas will show the greater 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 smaller 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.

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1. 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 (no heat is allowed in or out of the system) to one-fourth their
original volume.
(i) Which gas will show the greater 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 smaller 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.
Transcribed Image Text:1. 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 (no heat is allowed in or out of the system) to one-fourth their original volume. (i) Which gas will show the greater 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 smaller 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.
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