Question

An amount of glycerin has a volume of 1.45 m3 when the pressure is 130 kPa. If the pressure is increased to 296 kPa. The bulk modulus for glycerin is EV = 4.35 GPa.

The change in volume is equal to ------- mm³ ?

Answer 1

The change in volume is approximately 735.632 mm³.

Step-by-step explanation:

The change in volume can be calculated using the formula for bulk modulus:

AV = V * (P2 - P1) / EV

Where AV is the change in volume, V is the original volume, P2 and P1 are the final and initial pressures respectively, and EV is the bulk modulus. Substituting the given values, we have:

AV = 1.45 m³ * (296 kPa - 130 kPa) / 4.35 GPa

To convert AV to mm³, we can multiply it by 1,000,000,000:

AV = 1.45 m³ * (296 kPa - 130 kPa) / 4.35 GPa * 1,000,000,000

Simplifying the equation gives:

AV ≈ 735.632 mm³