Why Did My Calculation of Temperature Change Result in the Wrong Answer?

AI Thread Summary
The calculation of temperature change for 10 kg of water losing 232 kJ of heat was incorrect due to unit conversion and mathematical errors. The correct approach involves converting 232 kJ to joules, resulting in 232,000 J. Using the formula q = mc delta t, the correct calculation yields a temperature change of 5.5°C. The error stemmed from not properly converting units and miscalculating the division. Ensuring consistency in units and including signs for energy changes are crucial for accurate results.
punk_rawk_jazz
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Does anyone know why I end up with the wrong answer?
The question is:
Determine the temperature change: 10 kg of water loses 232 kJ or heatQUOTE]

I went delta q is equal to m c delta t, the derived the equation delta t is equal to delta q divded by mc. I therefore did the math as 232 kJ divided by (10 kg times 4.2 x 10 ^3 j/kg C) and got 9.7 x 10 ^4, when the answer was supposed to be 5.5. Does anyone know what I did wrong??


Thank you in advance
 
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Make sure you are consistent in units. Also remember to include signs in your calculations to indicate gain/loss of energy.
 
Hope this helps

Firstly just change the 232 kJ into joules so you that have 232000 J.

q = mc delta t
232000 = 10 * 4200 * delta t
delta t = 232000/10*4200
delta t = 232000/42000
delta t = 5.5
 
Was there any particular reason why you posted this twice?
 
Nope I just mest up...
 
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