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Bulk Modulus

A hydraullic ...

Question

A hydraullic press contains $250 l i t$ of oil. Find the decrease in volume of the oil when its pressure increases to $10^{7} P a$ . The bulk modulus of the oil is $K = 5 \times 10^{5} P a$

- 0.8 l i t

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- 0.5 l i t

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- 0.6 l i t

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- 0.9 l i t

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Solution

The correct option is B $- 0.5 l i t$
Bulk modulus $= - \frac{v o l u m e \times Δ P r e s s u r e}{Δ v o l u m e}$

$Δ v o l u m e$ $= - \frac{v o l u m e \times Δ P r e s s u r e}{B u l k m o d u l u s}$

$Δ v o l u m e = - \frac{250 \times 10^{7}}{5 \times 10^{9}} = - 0.5$ liters.

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10^{7} P a

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