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Consider two cylinders of gas identical in all respects except that one contains

ID: 1651885 • Letter: C

Question

Consider two cylinders of gas identical in all respects except that one contains O2 and the other helium He. Both cylinders initially contain the same volume of gas at 0 degrees C and 1 atmosphere of pressure and are closed by a movable piston at one end. Both gases are now compressed adiabatically to one- third their original volume. a) Which gas will show the greater temperature increase? b) Which gas will show the greater pressure increase? Consider two cylinders of gas identical in all respects except that one contains O2 and the other helium He. Both cylinders initially contain the same volume of gas at 0 degrees C and 1 atmosphere of pressure and are closed by a movable piston at one end. Both gases are now compressed adiabatically to one- third their original volume. a) Which gas will show the greater temperature increase? b) Which gas will show the greater pressure increase? a) Which gas will show the greater temperature increase? b) Which gas will show the greater pressure increase?

Explanation / Answer

a)The Cp/Cv of monoatomic gas is 1.66 and 1.4 for diatomic

Helium is a monoatomic gas and hence will have greater temperature than O2.

b)Pressure increase will be greater for Helium since its a monoatomic gas with Cp/Cv = 1.66.