I'm trying to help my nephew with some homework and am hopeless. Please help with these questions:
If 180 calories of heat were added to 50 grams of copper, what would the change in temperature be? (specific heat of copper = .09)
What would the temperature of the copper be if it were 50 degrees C before the heat was added?
calories of heat=masscopper*specificheat*changeintemperature.
solve for the change in temperature. To get final temp, add the starting temp 50C to it.
To find the change in temperature when 180 calories of heat are added to 50 grams of copper, we will use the formula:
calories of heat = mass of copper * specific heat * change in temperature
We are given the mass of copper as 50 grams and the specific heat of copper as 0.09. We need to find the change in temperature.
Rearranging the formula, we get:
change in temperature = calories of heat / (mass of copper * specific heat)
Plugging in the values, we have:
change in temperature = 180 calories / (50 grams * 0.09)
To simplify, multiply the mass by the specific heat and then divide the calories of heat by the product:
change in temperature = 180 calories / (4.5 grams * calories/gramC)
The "calories" units cancel out, leaving us with grams/gramsC, representing the change in temperature. The calculation of 4.5 grams * calories/gramC gives us the unit conversion.
Now, we can calculate the change in temperature:
change in temperature = 180 calories / 4.5 gramsC
change in temperature = 40 gramsC
Therefore, the change in temperature when 180 calories of heat are added to 50 grams of copper is 40 degrees Celsius.
For the second question, we are given that the starting temperature of the copper is 50 degrees Celsius.
To find the final temperature after adding 180 calories of heat, we add the change in temperature to the starting temperature:
final temperature = starting temperature + change in temperature
final temperature = 50 degrees Celsius + 40 degrees Celsius
final temperature = 90 degrees Celsius
Therefore, the final temperature of the copper, if it were initially 50 degrees Celsius and 180 calories of heat were added, would be 90 degrees Celsius.