Calculate the energy required to heat 0.60kg of aluminum from −3.8°C to 5.2°C. Assume the specific heat capacity of aluminum under these conditions is ·0.903J·g−1K−1 . Be sure your answer has the correct number of significant digits.
Question
Calculate the energy required to heat 0.60kg of aluminum from −3.8°C to 5.2°C. Assume the specific heat capacity of aluminum under these conditions is ·0.903J·g−1K−1 . Be sure your answer has the correct number of significant digits.
Solution
To calculate the energy required to heat a substance, we can use the formula:
Q = mcΔT
where: Q = heat energy (Joules, J) m = mass (kilograms, kg) c = specific heat capacity (Joules per gram per degree Celsius, J/g°C) ΔT = change in temperature (degrees Celsius, °C)
Given: m = 0.60 kg = 600 g (since 1 kg = 1000 g) c = 0.903 J/g°C ΔT = 5.2°C - (-3.8°C) = 9.0°C
Substituting these values into the formula, we get:
Q = (600 g) * (0.903 J/g°C) * (9.0°C) = 4876.2 J
So, the energy required to heat 0.60 kg of aluminum from -3.8°C to 5.2°C is approximately 4876 J. This answer is rounded to four significant digits because the given values have at most four significant digits.
Similar Questions
Calculate the weight in kg of a block of aluminum at 93 °C placed in 3.3 kg of water at 25 °C if the final temperature becomes 33 °C. The heat capacity of water = cw = 4184 J/kg°C, and the heat capacity of Aluminum = cAl = 900 J/kg°CRound answer to the nearest two decimal places
Calculate the energy required to heat 1.40kg of iron from −5.2°C to 0.9°C. Assume the specific heat capacity of iron under these conditions is ·0.449J·g−1K−1 . Be sure your answer has the correct number of significant digits.
How much energy is required to vaporize 1.5 kg of aluminum? (Refer to table of latent heat values.)A.733 kJB.7095 kJC.600 kJD.1650 kJSUBMITarrow_backPREVIOUS
Calculate the energy required to heat 0.20kg of ethanol from 4.5°C to 10.0°C. Assume the specific heat capacity of ethanol under these conditions is ·2.44J·g−1K−1 . Be sure your answer has the correct number of significant digits.
Aluminum has a specific heat of 0.902 Jg-1K-1. How much heat is lost when a piece ofaluminum with a mass of 23.984 g cools from a temperature of 415.0° C to atemperature of 22.0° C?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.