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What is the bulk modulus of a material if a pressure increase of 1000 kPa result

Practice Questions

Q1
What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.5%? (2022)
  1. 200000 kPa
  2. 500000 kPa
  3. 1000000 kPa
  4. 250000 kPa

Questions & Step-by-Step Solutions

What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.5%? (2022)
  • Step 1: Understand the formula for bulk modulus (K), which is K = -ΔP / (ΔV/V).
  • Step 2: Identify the change in pressure (ΔP). In this case, ΔP = 1000 kPa.
  • Step 3: Identify the change in volume (ΔV) and the original volume (V). Here, the volume decrease is 0.5%, which means ΔV/V = 0.005.
  • Step 4: Substitute the values into the formula: K = -1000 kPa / -0.005.
  • Step 5: Calculate the result: K = 1000 kPa / 0.005 = 200000 kPa.
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