Calorimetry: Calculate Unknown Mass of Water

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To find the unknown mass of water initially at 20 degrees Celsius, the heat transfer equation was applied using the known mass of 42.1 grams of water at 80.9 degrees Celsius and the final temperature of 54.8 degrees Celsius. The calculated heat loss from the hot water was approximately 4593.03 Joules. Using this value, the unknown mass was determined to be around 31.5 grams after applying the specific heat capacity and temperature change. The calculations were confirmed as accurate by participants in the discussion. This method effectively demonstrates the principles of calorimetry in determining unknown masses.
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When 42.1 grams of water at 80.9 degrees Celsius are added to an unknown amount of water at 20 degrees Celsius. The final temperature of the mixture is 54.8 degrees Celsius. Calculate the unknown mass of water originally at 20 degrees Celsius.
For known mass:
q = (42.1 g)*(54.8-80.9 C)*(4.184 J/g*C) = 4593.0258 J
Now for unknown mass:
m = q/C*deltaT
4593.0258 J/(4.184 J/g*C)*(54.8-20 C) = 31.5448 = 31.5 g?
Thanks.
 
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Any volunteers?

Thanks again.
 
(Actually I believe by trying to bump your own threads you lose the chances of a reply - i.e. most people probably look for unreplied threads rather than ones that have been addressed)

Anyway, going through it, I think your calculations hold.
 
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