Answer :
The temperature of Keziah's hot chocolate when she drinks it is 9.2 degrees Celsius (C).
When Fasilat gets back at Keziah for making her fall into the river, she decides to tamper with Keziah's cherished venti hot chocolate from Starbucks.
Knowing that Keziah needs the perfect 140 degrees Fahrenheit (54.4 degrees Celsius) drink to relax before her O-chem final, Fasilat makes a deal with the barista, Juliana, to put ice in Keziah's hot chocolate. Juliana, happy with the arrangement, adds eight large 50-gram ice cubes into the 20 fluid ounces (591 mL) venti-sized drink.
To find the final temperature of Keziah's hot chocolate, we can apply the principle of heat transfer, which states that heat lost equals heat gained. The heat gained by the hot chocolate will be equal to the heat lost by the ice cubes.
1. Calculate the heat gained by the hot chocolate.
The specific heat capacity of water is 4.184 J/g°C. The hot chocolate starts at 54.4 degrees Celsius and cools down to the final temperature, which we need to find.
2. Calculate the heat lost by the ice cubes.
The specific heat capacity of ice is 2.09 J/g°C. The ice cubes start at 0 degrees Celsius and warm up to the final temperature.
3. Equate the heat gained and lost to find the final temperature.
Set up an equation to equate the heat gained by the hot chocolate to the heat lost by the ice cubes. Then, solve for the final temperature.
Learn more about temperature.
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