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Mechanical Properties Of Fluids

Question
CBSEENPH11019981

Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

Solution
Hydraulic pressure exerted on the glass slab, = 10 atm = 10 × 1.013 × 105 Pa
Bulk modulus of glass, B = 37 × 109 Nm–2

Bulk modulus, B =fraction numerator straight p over denominator begin display style bevelled fraction numerator increment straight V over denominator straight V end fraction end style end fraction
where, 
V/V = Fractional change in volume
∴ ∆V/V = p / B

          =fraction numerator space 10 space cross times space 1.013 space cross times space 10 to the power of 5 over denominator left parenthesis 37 space cross times space 10 to the power of 9 right parenthesis end fraction
          = 2.73 × 10-5 
Hence, the fractional change in the volume of the glass slab is 2.73 × 10–5.