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Offline roncarlston

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specific heat problem
« on: February 24, 2010, 04:26:57 PM »
one of the problems from my book thats giving me trouble, any help would be appreciated my numbers don't look right:

A 14.325-gram silver sample was heated to 98.1 degrees celcius in a hot water bath. The metal was then placed in a calorimeter containing 45.1 mL if water (density = 1.00 g/mL) at a temperature of 24.8 degrees celsius. the final temperature of the water and metal sample was recorded as 26.2 degrees celsius.

A. determine the temperature change for the water contained in the calorimeter.

26.2 - 24.8 = 1.4

B. Calculate the heat absorbed by the water in the calorimeter.

45.1 X 4.186 (SH of water) X 1.4 = 264.3

C. Determine the temperature change for the metal sample.

14.325 X 0.233 ( the SH of silver)= 3.34

D. Calculate the specific heat of the metal sample. Assume that the heat given away by the metal equals the heat absorbed by the water in the calorimeter.

264.3 / 14.325 X 4.676 = 86.27

E. Calculate the percent error for the determination of the specific hheat of silver.

havent gotten this far yet because i get the feeling i did something wrong above...



/
am i doing these calculations wrong or using the wrong values?

Offline Prozac

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Re: specific heat problem
« Reply #1 on: February 24, 2010, 07:00:04 PM »

Heat Loss by metal = heat gain by water

heat loss is indicated by a -ve sign while heat gain is indicated by a +ve sign

So..
 
  -[(Mmetal*Cmetal * (Final Temp -Initial Temp)]= Mwater*Cwater*(Final Temp-Initial Temp)


% error= real value -experimental value * 100
                      real value

By real value I mean the accepted value for specific heat of silver(somewhere in a textbook)

Offline roncarlston

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Re: specific heat problem
« Reply #2 on: February 24, 2010, 07:10:02 PM »
what do you mean by *Cmetal

thanks for the reply

Offline Prozac

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Re: specific heat problem
« Reply #3 on: February 24, 2010, 07:17:19 PM »
specific heat of metal, which in your case is silver

Offline roncarlston

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Re: specific heat problem
« Reply #4 on: February 24, 2010, 07:25:19 PM »
so isn't that exactly what i did above?

my final result of 86.27 seemed really high so it makes me think i did those wrong

just want to make sure before i calculate the very last part

Offline roncarlston

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Re: specific heat problem
« Reply #5 on: February 24, 2010, 07:29:41 PM »
does that make sense? i don't know of anything that has a specific heat that high, i thought water was the highest at 4.186

Offline DrCMS

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Re: specific heat problem
« Reply #6 on: February 25, 2010, 05:13:26 AM »
As far as I can see you are OK until you get to part C then I have no idea what you are doing.  Look at the questions again and answer part C - what is the temperature change of the silver?  I'll give you a clue it is not 3.34°C.  Also please include the units of your answers it makes it easier to follow and correct.

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