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28. A 275 mL sample of argon had its pressure changed from 150kPa to 260 kPa. What is its new volume?

Question

  1. A 275 mL sample of argon had its pressure changed from 150kPa to 260 kPa. What is its new volume?
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Solution

This problem can be solved using Boyle's Law, which states that the pressure and volume of a gas have an inverse relationship when temperature is held constant.

Boyle's Law is represented by the formula P1V1 = P2V2, where:

  • P1 is the initial pressure
  • V1 is the initial volume
  • P2 is the final pressure
  • V2 is the final volume

Given in the problem:

  • P1 = 150 kPa
  • V1 = 275 mL
  • P2 = 260 kPa
  • V2 = ?

We can substitute the given values into the formula and solve for V2:

150 kPa * 275 mL = 260 kPa * V2

Rearranging the equation to solve for V2 gives:

V2 = (150 kPa * 275 mL) / 260 kPa

Calculating the above expression gives:

V2 ≈ 158.65 mL

So, the new volume of the argon sample when the pressure is changed from 150 kPa to 260 kPa is approximately 158.65 mL.

This problem has been solved

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