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If the volume V of a gas varies inversely as the pressure P, and if the gas occupies 4,630 cubic centimeters (volume) when the pressure is 760 mm Hg, what is the volume of the gas under a pressure of 1,400 mmHg?

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MissJindySummeridn

[tex]\color{lime}\underline\mathbb{QUESTION:}[/tex]

If the volume V of a gas varies inversely as the pressure P, and if the gas occupies 4,630 cubic centimeters (volume) when the pressure is 760 mm Hg, what is the volume of the gas under a pressure of 1,400 mmHg?

Type of variation: Inverse

Volume (V) of a gas varies inversely as the pressure (P)

  • V = K/P

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Given values:

  • V = 4630
  • P = 760

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  • V = K/P
  • 4630 = k/760
  • 4630 · 760 = k
  • 3518800 = k

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  • V = ?, P = 1400
  • V = 3518800/P
  • V = 3518800/1400
  • V = 2513.42

[tex]\\[/tex]

[tex]\color{yellow}\underline\mathbb{ANSWER:}[/tex]

  • The volume of the gas is 2513.42 cubic centimeters.