Brass has a density of at and a coefficient of volume expansion

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Brass has a density of 8.50×103 kg m−38.50\times10^{3}\,\text{kg}\,\text{m}^{-3} at 20 ∘C20\,^{\circ}\text{C} and a coefficient of volume expansion 5.1×10−5 K−15.1\times10^{-5}\,\text{K}^{-1}. At what temperature will its density become 8.40×103 kg m−38.40\times10^{3}\,\text{kg}\,\text{m}^{-3}, assuming its mass stays constant? (a) 98 ∘C98\,^{\circ}\text{C} (b) 233 ∘C233\,^{\circ}\text{C} (c) 253 ∘C253\,^{\circ}\text{C} (d) 176 ∘C176\,^{\circ}\text{C}

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