InterviewSolution
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InterviewSolution
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CONCEHeat, temperature and thermal expansionI. A uniform pressurof a solid cube att°C. By What amount shouldthe temperature of the cube be raised in orderto bring its volume back to the value it hadbefore the pressure was appliedbulk modulus and ι is the coefficient of lineare P is exerted on all sides? K is theexpansion of material of solid cube. |
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Answer» When pressure P (= stress = Force/Area) is applied on the surface of the cube, it is compressed. The compression is due to elasticity. Let Y be the Young's modulus of elasticity of the material of the cube. When the cube is heated, it expands due to increase in temperature. Let α be the coefficient of thermal expansion of the material. Let L be the side of the cube. Y = Stress / Strain = P / (ΔL / L) ΔL = compression = P L / Y ΔL = α L T Hence, α L T = P L / Y => T = P / α Y |
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