When 4.44 calories of heat was added to 5.40 degrees C, the temperature rose. What was the final temperature of the mercury?
In factor label method.
To solve this problem using the factor-label (dimensional analysis) method, we need to convert the heat energy in calories to the change in temperature in degrees Celsius.
Step 1: Identify the given information:
- Heat added = 4.44 calories
- Initial temperature = 5.40 degrees Celsius
Step 2: Determine the conversion factors:
- 1 calorie is equivalent to a change in temperature of 1°C.
Step 3: Set up the conversion factors in the correct order to cancel out the units and leave us with the desired final temperature:
4.44 calories * (1°C / 1 calorie) = x°C
By multiplying 4.44 calories by the conversion factor (1°C / 1 calorie), the calories cancel out, and we are left with the change in temperature in degrees Celsius.
Step 4: Calculate the final temperature:
x = 4.44 * 1 = 4.44°C
Therefore, the final temperature of the mercury is 5.40 + 4.44 = 9.84°C.