If 100 g of water at 0°C is mixed with 100 g of water at 100°C, what will be the final temperature?
Practice Questions
1 question
Q1
If 100 g of water at 0°C is mixed with 100 g of water at 100°C, what will be the final temperature?
50°C
25°C
75°C
0°C
The final temperature will be 50°C due to equal masses and specific heat capacities.
Questions & Step-by-step Solutions
1 item
Q
Q: If 100 g of water at 0°C is mixed with 100 g of water at 100°C, what will be the final temperature?
Solution: The final temperature will be 50°C due to equal masses and specific heat capacities.
Steps: 5
Step 1: Understand that we have two equal amounts of water: 100 g at 0°C and 100 g at 100°C.
Step 2: Recognize that when you mix equal masses of water at different temperatures, the heat lost by the hot water will equal the heat gained by the cold water.
Step 3: Since both amounts of water are the same (100 g), and they have the same specific heat capacity, they will balance each other out.
Step 4: Calculate the average of the two temperatures: (0°C + 100°C) / 2.
Step 5: The result of the calculation is 50°C, which is the final temperature of the mixture.