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

Question

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. In other words, P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Here's how to solve it:

  1. Identify the initial pressure (P1), initial volume (V1), and final pressure (P2). In this case, P1 = 150 kPa, V1 = 275 mL, and P2 = 260 kPa.

  2. Plug these values into the Boyle's Law equation and solve for V2 (the final volume).

    So, 150 kPa * 275 mL = 260 kPa * V2

  3. Solve for V2 by dividing both sides of the equation by 260 kPa:

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

  4. Calculate the value to find V2.

    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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