How Do You Calculate Heat Capacity and Specific Heat in Chemistry Problems?

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To calculate the temperature increase of a 2kg aluminum sample absorbing 64.4 kJ of heat, the formula q=mcT is used, resulting in a temperature rise of 65.1 degrees. The specific heat of aluminum is noted as 0.9930, which is crucial for the calculation. In a separate problem involving the combustion of 0.5g of an organic compound in a calorimeter, the heat capacity of the calorimeter is 510 J K-1, leading to a calculated heat of combustion of approximately 3009 J or 3.00 kJ per gram. There is confusion regarding the use of heat capacity versus specific heat, with discussions clarifying the distinction between C (heat capacity) and c (specific heat). Accurate calculations require careful attention to the mass and the specific heat values used in the equations.
luysion
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hey for this question
If a 2kg sample of aluminium absorbs 64.4 kJ of heat from its surrounds by how much does its temperature increase

the answer is 65.1

how? i got 32.5
q=mcT
T=q/mc=(64.6x10^3)/(2000x.9930)

also same for this question
If 0.5g of an organic compound is completely combusted in air in a constant press calorimeter with a heat capacity of 510 J K-1 a temperature rise of 5.9 degrees is recorded. The heat of combustion (kJ g-) of the compound is approximately

the answer is 3009...
i convered C to c then used q=mcT
which gave me 3009 J , so shouldn't it be 3.00 kJ
so 3.00/0.5 to get kJ per gram
 
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To some extent you are twice right (that is assuming specific heat of Al is 0.9930). Although details are fuzzy at best.

Can you elaborate on

luysion said:
i convered C to c

You mean you converted 5.9 to 5.9?

luysion said:
then used q=mcT

And what did you put for m?
 
Yeah where did you get the mass lol.
 
Cheers for the reply guys,
Um, i meant C as in heat capacity and c as in specific heat (c=C/m)
the mass was given as 2kg
 
luysion said:
Um, i meant C as in heat capacity and c as in specific heat (c=C/m)

Show precisely what you did and how, as as far as I can tell you did something else. You should use heat capacity of the calorimeter to calculate amount of heat (and numbers show that's what you did), not specific heat. And if you calculated specific heat - specific heat of what, and what have you used for mass (c=C/m)?
 
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