Question

Which of these statements describes this mathematical equation?

Answer 1

Answer:

The final pressure of a gas is inversely proportional to the volume change and directly proportional to temperature

Explanation:

Given

$\frac{P_1V_1}{T_1} = k$

Required

Interpret

$\frac{P_1V_1}{T_1} = k$

Multiply both sides by T1

$T_1 * \frac{P_1V_1}{T_1} = k * T_1$

$P_1V_1 = kT_1$

Divide both sides by V1

$\frac{P_1V_1}{V_1} = \frac{kT_1}{V_1}$

$P_1 = \frac{kT_1}{V_1}$

This can be rewritten as:

$P_1 = k\frac{T_1}{V_1}$

In the above expression; k is a constant of proportionality.

So, the equation can be written as variation as follows:

$P_1\ \alpha\ \ \frac{T_1}{V_1}$

To interpret:

P varies directly to T (the numerator) and inversely to V (the denominator).