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What is the bulk modulus of a material if a pressure increase of 50 MPa results

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Question: What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.02 m³ for a volume of 1 m³? (2022)

Options:

  1. 2500 MPa
  2. 500 MPa
  3. 1000 MPa
  4. 2000 MPa

Correct Answer: 2500 MPa

Exam Year: 2022

Solution: 

Bulk modulus (K) = -ΔP / (ΔV/V) = 50 MPa / (0.02 m³ / 1 m³) = 2500 MPa.

What is the bulk modulus of a material if a pressure increase of 50 MPa results

Practice Questions

Q1
What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.02 m³ for a volume of 1 m³? (2022)
  1. 2500 MPa
  2. 500 MPa
  3. 1000 MPa
  4. 2000 MPa

Questions & Step-by-Step Solutions

What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.02 m³ for a volume of 1 m³? (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 = 50 MPa.
  • Step 3: Identify the change in volume (ΔV). Here, ΔV = 0.02 m³.
  • Step 4: Identify the original volume (V). The original volume is V = 1 m³.
  • Step 5: Calculate the ratio of the change in volume to the original volume (ΔV/V). This is 0.02 m³ / 1 m³ = 0.02.
  • Step 6: Substitute the values into the bulk modulus formula: K = -50 MPa / 0.02.
  • Step 7: Perform the calculation: K = 50 MPa / 0.02 = 2500 MPa.
  • Bulk Modulus – The bulk modulus is a measure of a material's resistance to uniform compression, defined as the ratio of pressure increase to the relative decrease in volume.
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