Math Problem Statement
Calculate the amount of energy in joules that must be added to 245.0 g of ice at -45.0 ºC to
turn it all into liquid water at 0.00 ºC. Hint, two separate calculations must be done and then
added together.
Solution
To calculate the energy required to convert 245.0 g of ice at to liquid water at , we need to break the problem into two parts:
- Heating the ice from to .
- Melting the ice at to turn it into liquid water.
Step 1: Heating the ice
To calculate the heat required to raise the temperature of ice from to (0.0\ ^\circ\text{C}\
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Math Problem Analysis
Mathematical Concepts
Thermodynamics
Heat Transfer
Phase Change
Formulas
q = mcΔT (Heat required to change the temperature of a substance)
q = mL_f (Heat required to melt ice)
Theorems
First Law of Thermodynamics
Suitable Grade Level
Grades 11-12 (Physics or Chemistry)
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