A fractional change in volume of oil is 5 percent when a pressure of 1×107Nm2 is applied. Calculate the bulk modulus and its compressibility

0.5 × 10 9 N m − 2 , 2 × 10 − 9 m 2 N − 1

A fractional change in volume of oil is 5 percent when a pressure of 1×107Nm2 is applied. Calculate the bulk modulus and its compressibility

0.5 × 10 9 N m − 2 , 2 × 10 − 9 m 2 N − 1

3 × 10 9 N m − 2 , 0.33 × 10 − 9 m 2 N − 1

0.5 × 10 9 N m − 2 , 2 × 10 − 9 m 2 N − 1

0.2 × 10 9 N m − 2 , 5 × 10 − 9 m 2 N − 1

0.33 × 10 9 N m − 2 , 3 × 10 − 9 m 2 N − 1

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A fractional change in volume of oil is 5 percent when a pressure of $1 \times 10^{7} N m^{2}$ is applied. Calculate the bulk modulus and its compressibility

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$3 \times 10^{9} N m^{- 2}, 0.33 \times 10^{- 9} m^{2} N^{- 1}$

$0.5 \times 10^{9} N m^{- 2}, 2 \times 10^{- 9} m^{2} N^{- 1}$

$0.2 \times 10^{9} N m^{- 2}, 5 \times 10^{- 9} m^{2} N^{- 1}$

$0.33 \times 10^{9} N m^{- 2}, 3 \times 10^{- 9} m^{2} N^{- 1}$

answer is B.

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Detailed Solution

$K = \frac{P}{\frac{Δ V}{V}} = \frac{10^{7}}{5 \times 10^{- 2}} = 0.2 \times 10^{9}$

$C = \frac{1}{k} = \frac{1}{0.2 \times 10^{9}} = 5 \times 10^{- 9}$

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