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

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The new (final) volume of the sample of gas is equal to 0.1922 [tex]cm^3[/tex].

Given the following data:

  • Initial volume = 3.0 [tex]cm^3[/tex]
  • 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;

[tex]PV = k\\\\P_1V_1 = P_2V_2[/tex]

Where;

  • [tex]P_1[/tex] is the initial pressure.
  • [tex]P_2[/tex] is the final pressure.
  • [tex]V_1[/tex] is the initial volume.
  • [tex]V_2[/tex] is the new (final) volume.

Making [tex]V_2[/tex] the subject of formula, we have:

[tex]V_2 =\frac{P_1V_1}{P_2}[/tex]

Substituting the given parameters into the formula, we have;

[tex]V_2 = \frac{47.8 \times 3}{746} \\\\V_2 = \frac{143.4}{746}[/tex]

New volume = 0.1922 [tex]cm^3[/tex]

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