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Answer: The volume of the gas at a pressure of 800 mm Hg is 75 mL.
Explanation:
Given: [tex]V_{1}[/tex] = 100.0 mL, [tex]P_{1}[/tex] = 600 mm Hg
[tex]V_{2}[/tex] = ?, [tex]P_{2}[/tex] = 800 mm Hg
According to Boyle's law, at constant temperature the pressure of given mass of an ideal gas is inversely proportional to volume.
Hence, formula used to calculate new volume of the gas is as follows.
[tex]P_{1}V_{1} = P_{2}V_{2}[/tex]
Substitute the values into above formula.
[tex]P_{1}V_{1} = P_{2}V_{2}\\600 mm Hg \times 100.0 mL = 800 mm Hg \times V_{2}\\V_{2} = \frac{600 mm Hg \times 100.0 mL}{800 mm Hg}\\= 75 mL[/tex]
Therefore, we can conclude that the volume of the gas at a pressure of 800 mm Hg is 75 mL.
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