Question 3 of 4 · Fluid Properties and Flow Regimes · Advanced · About 20 min
Compression of a filled test chamber
A rigid test assembly initially contains of a liquid. During a slow pressure test the liquid pressure rises by ; its bulk modulus may be treated as constant at . Estimate the fractional reduction in liquid volume, express it as a percentage, and calculate the magnitude of the volume reduction. The assembly has a compensating piston allowing this small reduction.

Given
Initial liquid volume: 0.300 m³
Pressure rise: 4.0 MPa
Bulk modulus: 2.1 GPa
Find
Positive fractional volume reduction
Percentage reduction
Reduction magnitude
Assumptions
Small volume change.
Bulk modulus remains constant across pressure interval.
No temperature change significant to the model.
Worked solution
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