A sample of an alloy has a specific heat capacity of below and above that temperature

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

A 500 g500\,\text{g} sample of an alloy has a specific heat capacity of 0.30 J g−1 ∘C−10.30\,\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1} below 200 ∘C200\,^{\circ}\text{C} and 0.50 J g−1 ∘C−10.50\,\text{J}\,\text{g}^{-1}\,^{\circ}\text{C}^{-1} above that temperature. How much heat is required to raise the alloy’s temperature from 150 ∘C150\,^{\circ}\text{C} to 300 ∘C300\,^{\circ}\text{C}? (a) 2.50×104 J2.50\times10^{4}\,\text{J} (b) 3.25×104 J3.25\times10^{4}\,\text{J} (c) 3.00×104 J3.00\times10^{4}\,\text{J} (d) 3.75×104 J3.75\times10^{4}\,\text{J}

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