If 100 g of water at 0°C is mixed with 100 g of water at 100°C, what will be the final temperature of the mixture?
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 of the mixture?
50°C
25°C
75°C
0°C
Using the principle of conservation of energy, the final temperature will be 50°C.
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 of the mixture?
Solution: Using the principle of conservation of energy, the final temperature will be 50°C.
Steps: 6
Step 1: Understand that we have two amounts of water: 100 g at 0°C and 100 g at 100°C.
Step 2: Recognize that when you mix these two amounts of water, they will exchange heat until they reach the same temperature.
Step 3: Use the principle of conservation of energy, which states that the heat lost by the hot water will equal the heat gained by the cold water.
Step 4: Since both amounts of water are the same (100 g), and they are mixed together, the final temperature will be the average of the two temperatures.
Step 5: Calculate the average temperature: (0°C + 100°C) / 2 = 50°C.
Step 6: Conclude that the final temperature of the mixture is 50°C.
