Question

An 8.5-g ice cube is placed into 255 g of water. Develop an equation that can be used to calculate the temperature change in the water upon the complete melting of the ice given an initial temperature of T. Assume that all of the energy required to melt the ice comes from the water.

Answer 1

an equation that can be used to calculate the temperature change in the water upon the complete melting of the ice given an initial temperature of T is as follows:

heat to melt ice:

Q= m ice [C ice (T2-T1) + dH fuseion]

Here m ice = mass of ice

Cice = specific heat of ice

T2= Final tem

T1= initial tem

dH = heat of fusion

heat coming from water

Q= m water * C water (T2-T1)

Here m water = mass of water

Cwater = specific heat of water

T2= Final tem

T1= initial tem

Hence all the heat to melt ice will come from water, then we can write as follows:

m water * C water (T2-T1) = m ice [C ice (T2-T1) + dH fuseion]

(T2-T1) = m ice [C ice (T2-T1) + dH fuseion]/ m water * C water

Or temperature change dT == m ice [C ice (T2-T1) + dH fuseion]/ m water * C water