A builder has equal volumes of lead and pine wood available for two different tasks

CHEMISTRY · Multi-part · CBSE · Chemistry · The Amazing World of Solutes, Solvents, and Solutions · The Amazing World of Solutes, Solvents, and Solutions

Problem

A builder has equal volumes of lead and pine wood available for two different tasks. The density of lead is 11.3×103 kg m−311.3\times10^{3}\,\text{kg m}^{-3}, while the density of pine wood is 0.5×103 kg m−30.5\times10^{3}\,\text{kg m}^{-3}. The chosen volume for each substance is 0.020 m30.020\,\text{m}^3. (i) Calculate the mass of lead and the mass of pine wood for the given volume. State which is heavier and by how much. (ii) The builder needs material for ballast to keep a floating platform stable and also material for lightweight decking. With reasons based on your calculations, suggest which material should be used for each purpose. (iii) Convert the density of pine wood into g cm−3\text{g cm}^{-3}, showing all steps clearly.

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