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dem82 [27]
3 years ago
8

Which of these statements describes this mathematical equation?

Chemistry
1 answer:
salantis [7]3 years ago
3 0

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:

<em>P varies directly to T (the numerator) and inversely to V (the denominator).</em>

<em></em>

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