Understanding Heat and Temperature Change in Aluminum
What is the final temperature of 15.6 g of aluminum that releases 277 J of heat, if the initial temp is 8.1 °C?
If the initial temp is 8.1 °C and specific heat = 0.900 J/g°C, the final temperature of the aluminum is 10.2°C.
Explanation:
When dealing with heat and temperature changes in a substance like aluminum, we must consider the amount of heat released, the mass of the substance, the specific heat of the substance, and the change in temperature.
To solve the final temperature of the aluminum, we can use the formula Q = mcΔT, where Q is the heat released, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature.
Given that the heat released is 277 J, the mass of aluminum is 15.6 g, and the specific heat is 0.900 J/g°C, we can calculate the change in temperature using the formula ΔT = Q / (mc).
By plugging in the values, we find that the change in temperature is 20.0 °C. Then, we can use the formula Q = mcΔT again to solve for the final temperature, which turns out to be 10.2°C.
Understanding how heat and temperature interact in materials like aluminum is crucial in various fields, including physics, chemistry, and engineering. By mastering these concepts, we can better predict and control temperature changes in different scenarios.
Heat and Temperature Change in Aluminum:
Heat and temperature change are fundamental concepts in thermodynamics that play a vital role in various scientific and engineering applications. When a substance like aluminum releases heat energy, its temperature will change based on its mass and specific heat capacity.
The specific heat capacity of a material represents the amount of heat required to raise the temperature of one unit mass of the material by one degree Celsius. In the case of aluminum, with a specific heat of 0.900 J/g°C, it takes 0.900 Joules of heat energy to raise the temperature of one gram of aluminum by one degree Celsius.
By understanding and applying the formulas for heat and temperature change, we can accurately predict the final temperature of a substance like aluminum when a specific amount of heat is released. This knowledge is vital in various industrial processes, from metalworking to thermal management in electronic devices.
Overall, the relationship between heat, temperature, and material properties like specific heat capacity is a fascinating area of study that has wide-ranging implications in science and technology. By delving deeper into these concepts, we can enhance our understanding of how different materials respond to thermal energy and improve our ability to manipulate temperature changes for practical purposes.