Question

The diagram given below shows three glass chambers that are connected by valves of negligible volume. In an experiment, the valves are closed and initially the chambers contain the gases as given in the diagram. All the chambers are at fixed temperature of 300K.

Which of the folliwng represents the total translational kinetic energy of all the gas molecules after both valves are opened.
A. 2836 Joule
B. 3280 Joule
C. 4520 Joule
D. 4983 Joule

Answer 1

`n_(N_(2))=(0.82xx10)/(0.0821xx300)=(1)/(3)`
`n_(He)=(4.1xx6)/(0.0821xx300)=1`
`n_("total")=(1)/(3)+1=(4)/(3)`
Total KE=`(3)/(2)nRT`
`=(3)/(2)xx(4)/(2)xx8.314xx300J=4983J`