Question

The average molecular speed in a sample of Ar gas at a certain temperature is 213 m/s. The average molecular speed in a sample of Ne gas is ______ m/s at the same temperature.

Answer 1

300m/s is the average molecular speed of Ne

Step-by-step explanation:

Based on Graham's law, the ratio of speed of two gases under constant temperature is equal to the square root of the inverse of their molar masses. The equation is:

v1 / v2 = √m2 / √m1

Where v is the speed of the gas and m the molar mass of the gas

Assuming gas 1 is Argon and gas 2 is Neon:

v1 = 213m/s

v2 = ?

m2 = 20.18g/mol

m1 = 39.948g/mol

213m/s / v2 = √20.18g/mol / √39.948g/mol

v2 = 213m/s / 0.71074

v2 = 300m/s is the average molecular speed of Ne