Question

sample of gas initially occupies 3.0 cc at a pressure of 47.8 mmHg. The pressure is increased to 746 mmHg. What is the new volume

Answer 1

The new (final) volume of the sample of gas is equal to 0.1922 $cm^3$.

Given the following data:

• Initial volume = 3.0 $cm^3$

• Final pressure = 746 mmHg.

• Initial pressure = 47.8 mmHg.

To determine the new (final) volume of the sample of gas, we would apply Boyle's law:

Mathematically, Boyle's law is given by the formula;

$PV = k\\\\P_1V_1 = P_2V_2$

Where;

• $P_1$ is the initial pressure.

• $P_2$ is the final pressure.

• $V_1$ is the initial volume.

• $V_2$ is the new (final) volume.

Making $V_2$ the subject of formula, we have:

$V_2 =\frac{P_1V_1}{P_2}$

Substituting the given parameters into the formula, we have;

$V_2 = \frac{47.8 \times 3}{746} \\\\V_2 = \frac{143.4}{746}$

New volume = 0.1922 $cm^3$

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