The velocity, V of a gas is related to its mass, M by (k = proportionality constant)
A
V = \(\frac{k}{M}\)
B
V = \(\frac{k}{M^{\frac{1}{2}}}\)
C
V = \(kM^2\)
D
V = \((\frac{k}{M})^{\frac{1}{2}}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Recall:
V = \(\sqrt{\frac{3RT}{M}}\)
\(\therefore V \propto \frac{1}{\sqrt{M}}\)
\(V = \frac{k}{\sqrt{M}}\)
V = \(\frac{k}{M^{\frac{1}{2}}}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #56012)