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What is the bulk modulus of a material if a pressure increase of 1000 kPa result
What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.5%? (2022)
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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)
200000 kPa
500000 kPa
1000000 kPa
250000 kPa
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Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / 0.005 = 200000 kPa.
Questions & Step-by-step Solutions
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Q
Q: What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.5%? (2022)
Solution:
Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / 0.005 = 200000 kPa.
Steps: 5
Show Steps
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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