(d) An ice cube has a temperature of −15.0 °CThe total thermal energy needed to raise the temperature of this ice cube to 0.0 °C andcompletely melt the ice cube is 5848 Jspecific heat capacity of ice = 2100 J/kg °Cspecific latent heat of fusion of ice = 334 000 J/kgCalculate the mass of the ice cube.________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Mass of ice cube = _____________________________ kg(5)(Total 9 marks)Page 3 of 34

To calculate the mass of the ice cube, we first need to determine how much energy was used to raise the temperature of the ice from -15.0°C to 0.0°C, and then how much energy was used to melt the ice.

1. Calculate the energy used to raise the temperature of the ice:

The formula for calculating the energy (Q) required to change the temperature of a substance is Q = mcΔT, where m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

We know that the total energy used is 5848 J, the specific heat capacity of ice is 2100 J/kg°C, and the change in temperature is 15°C (from -15°C to 0°C). We can rearrange the formula to solve for m:

m = Q / (cΔT)

However, we don't know the total energy used for this part of the process. We can assume that any energy not used for melting the ice was used for raising its temperature. So, we need to calculate the energy used to melt the ice first.

2. Calculate the energy used to melt the ice:

The formula for calculating the energy required to change the state of a substance (without changing its temperature) is Q = mL, where m is the mass and L is the specific latent heat.

We know that the specific latent heat of fusion of ice is 334,000 J/kg. We can rearrange the formula to solve for m:

m = Q / L

However, we don't know the total energy used for this part of the process either. We can assume that any energy not used for raising the temperature of the ice was used for melting it. So, we need to subtract the energy used to raise the temperature of the ice from the total energy to find the energy used to melt the ice.

3. Subtract the energy used to raise the temperature of the ice from the total energy:

5848 J (total energy) - Q (energy used to raise the temperature) = Q (energy used to melt the ice