Question

An ensdated becker whineg/gibe mass contains lquid water wth a mass of 0.305 kg and a temperature of 68.3 ⁰C.

How much ice at a semperature of −19.9 ⁰C mist be dropped inlo the wator so that the final fomperature of the system wil be 27.0 ⁰C ?

Answer 1

The question pertains to finding the mass of ice required to cool water to a specific temperature, using thermodynamics principles in physics. It involves calculating the energy to warm and melt the ice and equate it to the energy lost by the water cooling down.

Step-by-step explanation:

The student's question involves the concept of energy transfer during the melting of ice and the resulting change in temperature of a system, which is a physics problem, specifically related to thermodynamics. To solve this, we use the conservation of energy and the specific heats of water and ice, as well as the heat of fusion of ice. The mass of ice needed to reach the final temperature can be found by setting the heat gained by the melting ice equal to the heat lost by the warm water cooling down.

Steps to solve the student's question:

1. Calculate the energy needed to warm the ice from -19.9°C to 0°C using its specific heat.
2. Calculate the energy needed to melt the ice at 0°C, using the heat of fusion of ice.
3. Calculate the energy lost by the warm water as it cools from 68.3°C to 27.0°C.
4. Set the energy gained by the ice equal to the energy lost by the warm water to find the mass of ice required.