A person makes iced tea by adding ice to 1.8 kg of hot tea

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

Problem

A person makes iced tea by adding ice to 1.8 kg of hot tea, initially at

80^{\circ}\text{C}

. How many kilograms of ice, initially at

0^{\circ}\text{C}

, are required to bring the mixture to

10^{\circ}\text{C}

? The specific heat of water (and tea) is

4186 \text{ J/kg} \cdot \text{K}

, and the latent heat of fusion of ice is

3.34 \times 10^5 \text{ J/kg}

. (a) 1.0 kg (b) 1.2 kg (c) 1.4 kg (d) 1.7 kg