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A container holds 2.0 liters of a gas at 5.0 atmospheres of pressure. If both the temperature and the amount of gas are kept constant while the volume is doubled, what is the new pressure of the gas A 0.5 L B 1.0L C 4.0 L D 8.OL​

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Lanuel

The new (final) pressure of the sample of gas is equal to 2.5 Liters.

Given the following data:

  • Initial volume = 2.0 Liters
  • Final volume = 4.0 Liters
  • Initial pressure = 5.0 atm.

Note: The initial volume was doubled.

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

Making [tex]P_2[/tex] the subject of formula, we have:

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

Substituting the given parameters into the formula, we have;

[tex]P_2 = \frac{5.0 \times 2.0}{4.0} \\\\P_2 = \frac{10}{4.0}[/tex]

New volume = 2.5 Liters

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