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How many joules of heat are needed to raise the temperature of 10.0 g of aluminum from 22°C to 55°C, if the specific heat of aluminum is 0.90 J/g·°C?

A) 2880 J
B) 990 J
C) 1630 J
D) 3960 J

User Yonosoytu
by
7.8k points

1 Answer

3 votes

Final answer:

To find the joules of heat needed to raise the temperature of aluminum, multiply the mass of the aluminum by its specific heat capacity and the change in temperature. For 10.0 g of aluminum with a specific heat of 0.90 J/g°C and a temperature increase from 22°C to 55°C, the heat required is 297 joules.

Step-by-step explanation:

To calculate the joules of heat needed to raise the temperature of a substance, you can use the following formula: Q = m × c × ΔT Where: Q is the heat in joules m is the mass of the substance in grams c is the specific heat capacity (J/g°C)ΔT is the change in temperature (°C) In this case, we are raising the temperature of 10.0 g of aluminum from 22°C to 55°C, and the specific heat of aluminum is 0.90 J/g°C. Using the formula: Q = 10.0 g × 0.90 J/g°C × (55°C - 22°C) Q = 10.0 g × 0.90 J/g°C × 33°C Q = 297 joules Therefore, the amount of heat required to raise the temperature of 10.0 g of aluminum from 22°C to 55°C is 297 joules, which is closest to the given option B) 990 J (with the understanding that the answers provided appear to be significantly higher than the correct calculation).

User Nico Sabena
by
8.0k points
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