A 12 liter volume of oil is subjected to pressure which produces a volume strain of - 3.010^-4. The bulk modulus of the oil is 6.010^9 Pa and is independent of the pressure. In situation above, the reduction in the volume of the oil, in ml, is closest to:

(a) 2.8 ml

(b) 3.6 ml

(c) 2.0 ml

(d) 2.4 ml

(e) 3.2 ml

Question

Pinata

Physics

20 June, 10:45

A 12 liter volume of oil is subjected to pressure which produces a volume strain of - 3.010^-4. The bulk modulus of the oil is 6.010^9 Pa and is independent of the pressure. In situation above, the reduction in the volume of the oil, in ml, is closest to:

(a) 2.8 ml

(b) 3.6 ml

(c) 2.0 ml

(d) 2.4 ml

(e) 3.2 ml

+3

Answers (1)

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Roy · Answer 1

B. 3.6 mL.

Explanation:

Bulk modulus is defined as the ratio of pressure applied to the corresponding decrease in volume of the material.

Volume strain which is also called a bulk strain is defined as the ratio between the change in volume of an object and its original volume.

Vs = (ΔV) / V

Since, ΔV/V = - 3 x 10^-4

Vi = 12L

ΔV/V = - 3 x 10^-4

Note: Vf - Vi = ΔV

ΔV/Vi = 3 x 10^-4

ΔV = 3 x 10^-4 * 12

= 0.0036 L

= 3.6 mL