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Ch.1 Matter and Measurements
McMurry - Fundamentals of General, Organic, and Biological Chemistry 8th Edition
McMurry8th EditionFundamentals of General, Organic, and Biological ChemistryISBN: 9780134015187Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 21

Assuming that Coca-Cola has the same specific heat as water, how much energy in calories is removed when 350 g of Coca-Cola (about the contents of one 12 oz can) is cooled from room temperature (25 °C) to refrigerator temperature (3 °C)?

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Step 1: Recall the formula for calculating heat energy: Q = m × c × ΔT, where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
Step 2: Identify the given values: mass m = 350 \, g, specific heat capacity of water c = 1.00 \, cal/(g \, °C), initial temperature T_{initial} = 25 \, °C, and final temperature T_{final} = 3 \, °C.
Step 3: Calculate the temperature change ΔT using the formula ΔT = T_{final} - T_{initial}. Substitute the values: ΔT = 3 \, °C - 25 \, °C.
Step 4: Substitute the values for m, c, and ΔT into the heat energy formula Q = m × c × ΔT. This becomes Q = 350 \, g × 1.00 \, cal/(g \, °C) × ΔT.
Step 5: Simplify the expression to find the total heat energy Q. Remember that the result will be in calories, and the negative sign indicates that energy is being removed (cooled).

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Specific Heat Capacity

Specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius. For this problem, it is assumed that Coca-Cola has the same specific heat as water, which is approximately 1 cal/g°C. This concept is crucial for calculating the energy change when the temperature of a substance changes.
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Heat Transfer

Heat transfer refers to the movement of thermal energy from one object or substance to another due to a temperature difference. In this scenario, energy is removed from Coca-Cola as it cools down from room temperature to refrigerator temperature, which involves calculating the heat lost using the formula Q = mcΔT, where Q is the heat energy, m is the mass, c is the specific heat, and ΔT is the change in temperature.
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Temperature Change

Temperature change is the difference in temperature between two states of a substance. In this case, the temperature change (ΔT) is calculated by subtracting the final temperature (3 °C) from the initial temperature (25 °C), resulting in a ΔT of 22 °C. This value is essential for determining the total energy removed from the Coca-Cola during the cooling process.
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Percorso guidato
02:03
Temperature (Simplified) Concept 2