Chapter 32 of 2363 min read

Thermal expansion and calorimetry

Why this is asked: For an isotropic solid the linear, areal and volume expansion coefficients are in the ratio 1:2:3, so 'the' expansion coefficient without saying which one invites a factor-of-2-or-3 error; water alone contracts while warming from 0°C to 4°C.

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Test yourself

•A metallic bar of Young's modulus $0.5 \times 1 0^{11} N m^{- 2}$ and coefficient of linear thermal expansion $1 0^{- 5}^{\circ} C^{- 1}$ , length 1 m and area of cross-section $1 0^{- 3} m^{2}$ , is heated from $0^{\circ}$ C to $10 0^{\circ}$ C without expansion or bending. The compressive force developed in it is:

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