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

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#### Solution 1

Hydraulic pressure exerted on the glass slab, p = 10 atm = 10 × 1.013 × 10^{5} Pa

Bulk modulus of glass, B = 37 × 10^{9} Nm^{–2}

Bulk modulus, `B = p/(triangle V/V)`

Where `triangle V/V = p/B`

`=(10xx1.013xx10^5)/(37xx10^9)`

`=2.73 xx 10^(-5)`

Hence, the fractional change in the volume of the glass slab is 2.73 × 10^{–5}.

#### Solution 2

P = 10 atm = 10 x 1.013 xx 10^{5} Pa; `k = 37 xx 10^9 Nm^(-2)`

Volumetric strain = `(triangleV)/V = P/K = (10xx1.013xx10^5)/(37xx10^9) = 2.74 xx 10^(-5)`

:.Fractional change in volume = `(triangleV)/V = 2.74 xx 10^(-5)`

Concept: Elastic Moduli - Bulk Modulus

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