2.A sample of gas in a syringe has a volume of 9.66mL at a pressure of 64.4kPa. The plunger is depressed until the pressure is 94.6kPa. What is the new volume, assuming constant temperature?

2A sample of gas in a syringe has a volume of 966mL at a pressure of 644kPa The plunger is depressed until the pressure is 946kPa What is the new volume assumin class=

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Answer:

6.57 mL.

Explanation:

  • Boyle's law states that: at a constant temperature the pressure of a given mass of an ideal gas is inversely proportional to its volume.
  • It can be expressed as: P₁V₁ = P₂V₂,

P₁ = 64.4 kPa, V₁ = 9.66 mL.

P₂ = 94.6 kPa, V₂ = ??? mL.

∴ V₂ = (P₁V₁)/(P₂) = (64.4 kPa)(9.66 mL) / (94.6 kPa) = 6.57 mL.