Physics

Problem

Two solid bars, X and Y, have equal masses. Bar X has a specific heat capacity of 0.50 J g⁻¹ °C⁻¹ and an initial temperature of 90 °C. Bar Y has a specific heat capacity of 1.00 J g⁻¹ °C⁻¹ and an initial temperature of 30 °C. The bars are placed in contact inside an insulated container and allowed to reach thermal equilibrium. Which statement about the magnitude of each bar’s temperature change

\left|\Delta T\right|

is most accurate? a)

|\Delta T|_{\text{X}} = 30\,^{\circ}\text{C}

;

|\Delta T|_{\text{Y}} = 30\,^{\circ}\text{C}

|\Delta T|_{\text{X}} = 20\,^{\circ}\text{C}

;

|\Delta T|_{\text{Y}} = 40\,^{\circ}\text{C}

|\Delta T|_{\text{X}} = 40\,^{\circ}\text{C}

;

|\Delta T|_{\text{Y}} = 20\,^{\circ}\text{C}

|\Delta T|_{\text{X}} = 15\,^{\circ}\text{C}

;

|\Delta T|_{\text{Y}} = 45\,^{\circ}\text{C}

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