A material has a bulk modulus of 200 GPa. If the pressure applied to it is incre
Practice Questions
Q1
A material has a bulk modulus of 200 GPa. If the pressure applied to it is increased by 50 MPa, what is the fractional change in volume?
0.00025
0.0005
0.0025
0.005
Questions & Step-by-Step Solutions
A material has a bulk modulus of 200 GPa. If the pressure applied to it is increased by 50 MPa, what is the fractional change in volume?
Correct Answer: 0.00025
Step 1: Understand the problem. We need to find the fractional change in volume of a material when the pressure is increased.
Step 2: Identify the given values. The bulk modulus (B) is 200 GPa and the change in pressure (ΔP) is 50 MPa.
Step 3: Convert the change in pressure from MPa to GPa. Since 1 GPa = 1000 MPa, we have ΔP = 50 MPa = 0.05 GPa.
Step 4: Use the formula for fractional change in volume: ΔV/V = ΔP/B.
Step 5: Substitute the values into the formula: ΔV/V = 0.05 GPa / 200 GPa.
Step 6: Calculate the result: ΔV/V = 0.00025.
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 fractional decrease in volume.
Fractional Change in Volume – The fractional change in volume is calculated using the formula ΔV/V = ΔP/B, where ΔP is the change in pressure and B is the bulk modulus.
