Questions: Increasing the temperature of 50 grams of water by 1°C requires how many calories?
Transcript text: Increasing the temperature of 50 grams of water by $1^{\circ} \mathrm{C}$ requires how many calories?
Solution
Solution Steps
Step 1: Understanding the Specific Heat Capacity of Water
The specific heat capacity of water is defined as the amount of heat required to raise the temperature of 1 gram of water by 1∘C. This value is known to be 1 calorie per gram per degree Celsius.
Step 2: Calculating the Heat Required
Given that we have 50 grams of water, we need to calculate the total heat required to raise the temperature of this amount of water by 1∘C. Using the specific heat capacity, we can determine this as follows:
Heat required=mass×specific heat capacity×ΔT
where:
mass=50grams
specific heat capacity=1calorie/gram/∘C
ΔT=1∘C
Step 3: Performing the Calculation
Substituting the values into the formula, we get:
Heat required=50grams×1calorie/gram/∘C×1∘C=50calories
Final Answer
The heat required to increase the temperature of 50 grams of water by 1∘C is 50 calories. Therefore, the correct answer is:
50 calories