The volume ( B )of a gas varies directly as the absolute temperature ( T )and inversely as the pressure ( D ). Translate the statement of variation into an equation and use k as the constant of variation.
A) $B = k T D$
B) $B = \frac { T } { \mathrm { D } }$
C) $B = \frac { k D } { T }$
D) $B = \frac { k T } { D }$
E) $B = \frac { D } { T }$

Question

Quizplus · Accepted Answer

The statement of variation can be translated into the equation:
B = k(T/D)
This shows that B varies directly with T and inversely with D, with k as the constant of variation. However, we can further simplify this expression by rearranging it to:
B = (kT)/D
This matches exactly with the fourth choice D, which is the best answer.

The Volume ( B )Of a Gas Varies Directly as the Absolute