The mass, specific heat capacity, and temperature of a solid are , , and ,…

PHYSICS · Numerical · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

The mass, specific heat capacity, and temperature of a solid are

1000\,\text{g}

\frac{1}{2}\,\text{cal g}^{-1}\,^{\circ}\text{C}^{-1}

, and

80^{\circ}\text{C}

, respectively. The masses of the liquid and calorimeter are

900\,\text{g}

and

200\,\text{g}

. Initially, both are at room temperature,

20^{\circ}\text{C}

. Both the calorimeter and the solid are made of the same material. At steady state, the temperature of the mixture is

40^{\circ}\text{C}

. Find the specific heat capacity of the unknown liquid.