Ice has negative caloric count. How much energy, in each of the following units, does your body lose from melting 175g of ice? Express your answers in J, kJ, cal, Cal
q = mass ice x heat fusion. heat fusion for ice is 80 calories/gram. To convert,
1 Cal = 1000 cal
1 cal = 4.184 J
1000 J = 1 kJ.
What about (delta T) so?
To determine the energy your body loses from melting ice, we need to calculate the amount of heat energy involved in the phase change.
The specific heat capacity of ice is 2.09 J/g°C, and the enthalpy of fusion (heat of melting) is 334 J/g. We can use these values to calculate the energy lost in joules (J), kilojoules (kJ), calories (cal), and kilocalories (Cal).
1. Calculate the energy in joules (J):
Energy = Mass × Enthalpy of fusion
Energy = 175 g × 334 J/g
Energy = 58450 J
2. Convert joules (J) to kilojoules (kJ):
Energy (kJ) = Energy (J) / 1000
Energy (kJ) = 58450 J / 1000
Energy (kJ) = 58.45 kJ
3. Convert joules (J) to calories (cal):
Energy (cal) = Energy (J) / 4.184
Energy (cal) = 58450 J / 4.184
Energy (cal) = 13974 cal
4. Convert calories (cal) to kilocalories (Cal):
Energy (Cal) = Energy (cal) / 1000
Energy (Cal) = 13974 cal / 1000
Energy (Cal) = 13.974 Cal
Therefore, when 175g of ice melts, your body loses approximately 58450 J, 58.45 kJ, 13974 cal, or 13.974 Cal of energy.