At what temperature in kelvin is the root mean square speed of helium atoms (atomic weight = 4.00) equal to that of oxygen molecules (molecular weight = 32.00) at 300. K?
A)37.5 K
B)75 K
C)106 K
D)292 K
E)2400. K

Question

Quizplus · Accepted Answer

The root mean square speed of a gas is inversely proportional to the square root of its molecular weight. Therefore, the root mean square speed of helium atoms will be equal to that of oxygen molecules when the temperature of the helium atoms is 300 K * (32/4) = 2400 K.

At What Temperature in Kelvin Is the Root Mean Square