A gas cylinder contains 1.0 mol of helium at a temperature of 20C. A second iden

Question

A gas cylinder contains 1.0 mol of helium at a temperature of 20C. A second identical cylinder contains 1.0 mol of neon at 20C. The helium atoms are moving with a higher average speed, but the gas pressure in the two containers is the same. Explain how this is possible.

fill the blank with [smaller, slower, 5 , faster, greater, squrt(5)]

[1] since the momentum depends on the velocity and mass, the momentum of the helium atoms is squrt(5) times -------- than the momentum of the neon atoms.
[2] summarizing the facts we see that the helium atoms collide with the walls ------- times more often, but each collision is --------- times weaker. consequently, the pressures exerted by the two different gases are the same.

Explanation / Answer

Pressure insdie can be obtained from the formula P = 0.5 rho V^2

so here under identical Conditions

we have to see that P of He = P of Ne

RHo gof H * V^2 of He = rho of Ne * V^2 of Ne

so

VHe2/Vne = Rho Ne/Rho of he

so this is possible by maitain this condition of ratio of speeds = inveres ratio of their densities

1. less than

2. 1.sqrt(five ) 2. five

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