Lisa is using a calorimeter that contains 255 g of water at 19°C. She places 99 g of a liquid substance inside of the calorimeter and closes the lid. The substance undergoes a reaction and crystallizes. Lisa measures the new temperature of the water inside the calorimeter at 29.2°C. Recall that the specific heat of water is 4.18 J/g-°C. What is the enthalpy of fusion (ΔHf) of the substance? Show all steps of your calculations.

Respuesta :

Based on the data provided, the enthalpy of fusion (ΔHf) of the substance is 109.82 J/g.

What is the enthalpy of fusion of a substance?

The enthalpy of fusion of a substance is the amount of heat evolved or absorbed when the substance undergoes a phase change from liquid to solid or vice versa.

From the principle of conservation of energy, heat lost = heat gained.

  • Heat gained by water = heat lost by fluid

Heat gained by water = mass × specific heat × temperature change.

Heat lost by liquid = mass × enthalpy of fusion of liquid

255 × 4.18 × (29.2 - 19) = 99 × ΔHf

ΔHf = 109.82 J/g

Therefore, the enthalpy of fusion (ΔHf) of the substance is 109.82 J/g.

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