Tina is going to make iced tea by first brewing hot tea, then adding ice until the tea cools. Ice, at a temperature of −10.0°C, should be added to a 3.80 × 10−4 m3 glass of tea at 95.0°C to cool the tea to 10.0°C. The glass has a mass of 0.350 kg and the specific heat of the glass is 0.837 kJ/(kg·K). Specific heat capacity (15.0°C) of water is 4.186 kJ/(kg·K) and heat of fusion of water is 333.7 kJ/kg. Specific heat capacity of ice is 2.10 kJ/(kg·K). Find the mass of the ice required to cool the tea to 10.0ºC, without ignoring the temperature change of the glass. _______g

Week 4 #13

Tina is going to make iced tea by first brewing hot tea, then adding ice until the tea cools. Ice, at a temperature of −10.0°C, should be added to a 3.80 × 10⁻⁴ m³ glass of tea at 95.0°C to cool the tea to 10.0°C. The glass has a mass of 0.350 kg and the specific heat of the glass is 0.837 kJ/(kg·K). Specific heat capacity (15.0°C) of water is 4.186 kJ/(kg·K) and heat of fusion of water is 333.7 kJ/kg. Specific heat capacity of ice is 2.10 kJ/(kg·K).

Find the mass of the ice required to cool the tea to 10.0ºC, without ignoring the temperature change of the glass.

_______g