Question

The bulk modulus of a fluid if it undergoes a 1% change in volume when subjected to a pressure change of 10,000 psi is (a) 0.01 psi (b) 0.001 psi (c) 0.00001 psi (d) 0.000001 psi (e) none of these

Answer 1

The required bulk modulus is
`10^(6)` Psi. So, the answer is non of these.

Step-by-step explanation:

Change in pressure of the fluid is directly proportional to the volumetric strain. The constant of proportionality is the bulk modulus of the fluid.

Step1

Given:

Percentage change in volume is 1%.

Change in pressure is 10000 Psi.

Calculation:

Step2

Volumetric strain is calculated as follows:

`(\bigtriangleup V)/(V)=(1)/(100)`

`(\bigtriangleup V)/(V)=0.01`

Step3

Bulk modulus is calculated as follows:

\frac{\bigtriangleup V}{V}=0.01

`(\bigtriangleup V)/(V)=0.01`

`10000=K*0.01`

K = 1000000 Psi.

Thus, the required bulk modulus is
`10^(6)` Psi.