Multiple Choice
How much energy is required to raise the temperature of 900 grams of water from 25°C to 100°C, given that the specific heat capacity of water is 4.18 J/g°C?
8. Thermochemistry
Heat Capacity
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How much heat is required to warm 2.80 kg of sand from 31.0 °C to 100.0 °C? The specific heat capacity of sand is 0.840 J/(g·°C). Express the heat in joules to three significant figures.
A
280,000 J
B
112,000 J
C
84,000 J
D
162,000 J
Verified step by step guidance1
First, identify the mass of the sand, which is given as 2.80 kg. Convert this mass into grams because the specific heat capacity is given in J/(g·°C). Use the conversion: 1 kg = 1000 g.
Next, note the initial and final temperatures of the sand. The initial temperature (T_initial) is 31.0 °C, and the final temperature (T_final) is 100.0 °C. Calculate the change in temperature (ΔT) using the formula: ΔT = T_final - T_initial.
The specific heat capacity (c) of sand is provided as 0.840 J/(g·°C). This value indicates the amount of heat required to raise the temperature of 1 gram of sand by 1 °C.
Use the formula for calculating heat (q) required to change the temperature of a substance: q = m × c × ΔT, where m is the mass in grams, c is the specific heat capacity, and ΔT is the change in temperature.
Substitute the values for m, c, and ΔT into the formula to calculate the heat required. Ensure that the final answer is expressed in joules and rounded to three significant figures.
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