Ice cubes of a total mass 80 g, and at 0 0C, are put into a chocolate drink of mass 275 g. All the icemelts as 25300 J of thermal energy transfers from the chocolate drink to the ice. The finaltemperature of the drink is 0 0C.(i) Calculate the specific latent heat of fusion for ice.
Question
Ice cubes of a total mass 80 g, and at 0 0C, are put into a chocolate drink of mass 275 g. All the icemelts as 25300 J of thermal energy transfers from the chocolate drink to the ice. The finaltemperature of the drink is 0 0C.(i) Calculate the specific latent heat of fusion for ice.
Solution
The specific latent heat of fusion for a substance can be calculated using the formula:
L = Q / m
where: L is the specific latent heat, Q is the heat absorbed or released during the process, and m is the mass of the substance.
In this case, the heat (Q) is given as 25300 J and the mass (m) of the ice is given as 80 g.
So, substituting these values into the formula gives:
L = 25300 J / 80 g = 316.25 J/g
Therefore, the specific latent heat of fusion for ice in this case is 316.25 J/g.
Similar Questions
Ice cubes of a total mass 80 g, and at 0 0C, are put into a chocolate drink of mass 275 g. All the icemelts as 25300 J of thermal energy transfers from the chocolate drink to the ice. The finaltemperature of the drink is 0 0C.
The thermal energy that causes the ice to melt is transferred from the chocolate drink as itcools. The loss of this thermal energy causes the temperature of the 275 g of chocolate drinkto fall by 15 0C. Calculate the specific heat capacity of the chocolate drink.specific heat capacity=
(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
A heater supplies 10.2 kJ of thermal energy is to heat 80 grams of ice at 0C. The specific latent heat of fusion of ice is 340 J/g. How much ice remains after heating?
Energy is transferred to 15.5kg of ice at 0 ∘ C until it is all melted, but without any temperature change. If the latent heat of fusion of water is 334000J/kg, how much energy is needed to melt the ice?Give your answer in MJ. Ensure your answer is quoted to the correct number of significant figures.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.