If the average speed of a carbon dioxide molecule is 410 m.s - 1 at 25 $\circ$ C, what is the average speed of a molecule of methane at the same temperature?
A) 680 m.s - 1
B) 410 m.s - 1
C) 1130 m.s - 1
D) 1000 m.s - 1
E) 247 m.s - 1

Question

If the average speed of a carbon dioxide molecule is 410 m.s - 1 at 25 $\circ$ C, what is the average speed of a molecule of methane at the same temperature?
A) 680 m.s - 1 
B) 410 m.s - 1 
C) 1130 m.s - 1 
D) 1000 m.s - 1 
E) 247 m.s - 1

Quizplus · Accepted Answer

The average speed of a gas molecule is inversely proportional to the square root of its molar mass. The molar mass of carbon dioxide is 44 g/mol, and the molar mass of methane is 16 g/mol. Therefore, the average speed of a methane molecule at the same temperature as a carbon dioxide molecule is 410 m/s * sqrt(44/16) = 680 m/s.

If the Average Speed of a Carbon Dioxide Molecule Is ∘\circ∘

If the Average Speed of a Carbon Dioxide Molecule Is $\circ$