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The bulk modulus of copper is 1.4 * 10¹¹ Pa and its coefficient of linear expansion is 1.7 * 10⁻⁵ per deg C. What hydrostatic pressure must be applied to keep a copper block from expanding when its temperature rises from 20 deg C to 30 deg C?

1. 6.0 * 10⁵ Pa
2. 7.1 * 10⁷ Pa
3. 5.2 * 10⁶ Pa
4. 40 atm

Correct answer: 7.1 * 10⁷ Pa

Solution

Thermal volumetric strain = 3 alpha deltaT; the pressure required to prevent expansion is B times this strain, giving about 7.1 * 10⁷ Pa.

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