The velocity, V of a gas is related to its mass, M by (k =…

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}})
Correct Answer: Option B
Explanation

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}}})

There is an explanation video available below.

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