One litre of water at 30 degree celcius is mixed with one litre of wat...
Solution:
Mixing of two different temperatures of water is an example of heat transfer from the hotter body to the colder body. In this case, heat will flow from the water at 50 degree Celsius to the water at 30 degree Celsius until both reach a common temperature.
The final temperature of the mixture can be calculated using the formula:
Tf = (m1T1 + m2T2)/(m1 + m2)
Where Tf is the final temperature of the mixture, m1 and m2 are the masses of water at temperatures T1 and T2 respectively.
Here, m1 = m2 = 1 litre, T1 = 30 degree Celsius, and T2 = 50 degree Celsius.
Substituting the values in the formula, we get:
Tf = (1 x 30 + 1 x 50)/(1 + 1) = 40 degree Celsius
Therefore, the temperature of the mixture will be between 30 degree Celsius and 50 degree Celsius. Hence, option (b) is the correct answer.
Summary:
- Heat will flow from the hotter body to the colder body until both reach a common temperature.
- The final temperature of the mixture can be calculated using the formula Tf = (m1T1 + m2T2)/(m1 + m2).
- Substituting the given values, we get the final temperature of the mixture as 40 degree Celsius.
- Therefore, the correct option is (b).
One litre of water at 30 degree celcius is mixed with one litre of wat...
B. Between 30 and 50 degree Celsius
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