Question

If a gas has a volume of 21mL and a pressure of 1.7atm if the pressure is increased to 3.9 atm find the new volume.

Answer 1

We are given –

• Initial Volume,
  `\bf V_1` = 21 mL
• Initial Pressure,
  `\bf P_1` = 1.7 atm
• Final Pressure,
  `\bf P_2` = 3.9 atm
• Final Volume,
  `\bf V_2` =?

Using Boyle's law–

`\qquad`
`\purple{\twoheadrightarrow\sf P_1V_1=P_2V_2}`

`\qquad`
`\twoheadrightarrow\sf 1.7 * 21 = 3.9 * V_2`

`\qquad`
`\twoheadrightarrow\sf V_2 * 3.9 = 35.7`

`\qquad`
`\twoheadrightarrow\sf V_2 = (35.7)/(3.9)`

`\qquad`
`\purple{\twoheadrightarrow\sf V_2 = 9.15\: mL}`

• Henceforth, New /Final volume will be 9.15 mL.

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