Need help with simple calorimetry problem

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The discussion centers around a calorimetry problem involving the dissolution of CaCl2 in water, with a focus on calculating the final temperature of the solution. The user initially attempts to apply the heat transfer equation but is confused about the specific heat capacity of CaCl2 and whether to use the same value for both substances. It is clarified that the heat capacity of the solution can be approximated as that of water, 4.18 J/(°C*g), but the user is cautioned against misapplying this in their calculations. Additionally, there is a reminder that the enthalpy change should be converted from kJ per mole to kJ for the specific amount of CaCl2 used. The conversation emphasizes the importance of correctly applying heat transfer principles and understanding the specific heat capacities involved.
kishin7
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So here's the problem

Conside the dissolution of CaCl2:

CaCl2(s) ---> Ca^(2+) (aq) + 2Cl^(-1) (aq) deltaH = -81.5kJ

An 11.0g sample of CACl2 id dissolved in 125g of water, with both substances at 25.0°C. Calculate the final temperature of the solution assuming no heat lost to the surroundings and assuming the solution has a specific heat capacity of 4.18 J/(°C*g).


So far I think it's just q(rxn) = q(water) + q(CaCl2)

(136g)(4.184J/°Cg)(Tfinal - 25.0°C) = (125g)(4.184)(Tfinal - 25.0°c) + (11g)c(Tfinal - 25.0°C)

But it seems that I am missing C for the calcium chloride and I don't know what to do about it? is there another way to calculating it without C of CaCl2?
 
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The heat capacity(Cp) of the solution will be very close to that of pure water, 4.18 J/(g C). The problem states this.
 
Are you suggesting that I use 4.184 for the heat capacity of every one? If I do then it wouldn't make sense since that's just making the left side equal to the right side and getting at final temperature of 25.0°C.

By the way, is my formula correct though?

heat of solution = heat of water + heat of calcium chloride
 
So far I think it's just q(rxn) = q(water) + q(CaCl2)

(136g)(4.184J/°Cg)(Tfinal - 25.0°C) = (125g)(4.184)(Tfinal - 25.0°c) + (11g)c(Tfinal - 25.0°C)
You won't need the left side of this equation. Note that the enthalpy is in kJ/mole of reaction. How would you convert kJ/mole of reaction to kJ?

This energy is equivalent to q...it is used to raise the temperature of ___?

"(136g)(4.184J/°Cg)(Tfinal - 25.0°C)",

this is incorrect, 4.184J/Cg applies specifically to water.
 
Last edited:

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