#1.) If 500 grams of a metal requires 70 calories of energy to raise its temperature by 10 Kelvin, what is its specific heat?
#2.) How much heat is gained or lost when 200 grams of ice melts?
answer
To answer question #1, we can calculate the specific heat of the metal using the formula:
Specific heat = (Amount of energy)/(Mass * Temperature change)
Given:
Mass (m) = 500 grams
Energy (Q) = 70 calories
Temperature change (ΔT) = 10 Kelvin
Plugging in these values into the formula:
Specific heat = (70 calories)/(500 grams * 10 Kelvin)
Specific heat = 0.014 calories/gram·Kelvin
Therefore, the specific heat of the metal is 0.014 calories/gram·Kelvin.
Now, moving on to question #2, we can determine the amount of heat gained or lost during the process of ice melting using the formula:
Heat gained/lost = Mass * Heat of fusion
Given:
Mass (m) = 200 grams
Heat of fusion = 334 calories/gram
Plugging in these values into the formula:
Heat gained/lost = 200 grams * 334 calories/gram
Heat gained/lost = 66800 calories
Therefore, when 200 grams of ice melts, the amount of heat gained or lost is 66800 calories.