How Much Cold Water Is Needed to Adjust Bath Temperature?

AI Thread Summary
To adjust the bath temperature from 60°C to 36°C, cold water at 9°C needs to be added. The equation mct=-mct can be used to solve for the mass of cold water required, where 'm' represents mass and 'c' represents specific heat capacity. It's important to ensure that the symbols in the equation are correctly defined and consistent on both sides. The discussion emphasizes the need for clarity in the equation to find the solution effectively. Understanding the principles of heat transfer is crucial for determining the correct amount of cold water needed.
Madeline1844
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MODERATOR NOTE: MISPLACED HOMEWORK, SO NO TEMPLATE

When filling up the tub for a bath, only the hot water tap was turned on. After realizing the mistake after a minute with half the tub at 60 C, how much cold water (as fraction of the whole tub) at 9 C must be added such that the final temperature of the water is 36 C?

Would the solution have to do with the equation mct=-mct?

Thanks in advance!
 
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Madeline1844 said:
Would the solution have to do with the equation mct=-mct?
If you fix the symbols there (are the mct on the left and right side the same thing?) and write down what they mean, you can use this formula, yes.
 
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