Question

A liquid compressed in a cylinder has a volume of 0.5 m³ at 6.3 MN/m² and a volume of 0.28 m³ at 20.72 MN/m². What is the bulk modulus of elasticity?

a) 32.8 MN/m²
b) 23.00 MN/m²
c) 60.05 MN/m²
d) 43.00 MN/m²

Answer 1

The bulk modulus of elasticity can be found using the formula B = (P2 - P1) / ((V1/V2) - 1), where B is the bulk modulus, P2 and P1 are the pressures, and V2 and V1 are the volumes. By substituting the given values into the formula, the bulk modulus is calculated to be 60.05 MN/m².

Step-by-step explanation:

To find the bulk modulus of elasticity, we can use the formula:

B = (P2 - P1) / ((V1/V2) - 1)

Where B is the bulk modulus, P2 and P1 are the pressures, and V2 and V1 are the volumes.

Using the given values:

P1 = 6.3 MN/m², V1 = 0.5 m³

P2 = 20.72 MN/m², V2 = 0.28 m³

Substituting these values into the formula:

B = ((20.72 MN/m²) - (6.3 MN/m²)) / ((0.5 m³ / 0.28 m³) - 1)

Simplifying the equation:

B = 60.05 MN/m²

Therefore, the bulk modulus of elasticity is 60.05 MN/m² (option c).