Question

the average molecular speed in a sample of N2 gas at a certain temperature is 468 m/s the average molecular speed in a sample of HE gas is blank meters per second at the same temperature

Answer 1

177.3 meters per second

Step-by-step explanation:

Assuming that both gases are at the same temperature, we can use Graham's law to calculate the ratio of the average speeds of N2 and He molecules:

(ratio of speeds) = sqrt(molar mass of He/molar mass of N2)

The molar mass of N2 is 28.02 g/mol, and the molar mass of He is 4.00 g/mol. Therefore:

(ratio of speeds) = sqrt(4.00/28.02) = 0.379

We know that the average speed of N2 molecules is 468 m/s. Therefore:

(average speed of He molecules) = (ratio of speeds) x (average speed of N2 molecules) = 0.379 x 468 m/s = 177.3 m/s

Therefore, the average speed of He molecules at the same temperature is approximately 177.3 meters per second.