Calculating Mass of Solution for Temperature Change in HCl-Water Mixture

[Meddie]

Hello, I am trying to do a lab for Ap chemistry, but I am a bit confused on how to do the following:

Calculate the mass of solution that underwent the temperature change, assuming the density of HCl is the same as water

 

[Borek]

What is given to you?

 

[Meddie]

Mass of solution: 60.0 g
Initial Temperature: 22.7 degrees celsius
Final temperature: 37.9 degrees celsius

thats pretty much it.

 

[Borek]

So mass of the solution is 60.0g, period. Nothing to calculate.

Unless you have not told everything.

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[DeeNos]

.

I would start by clarifying what exactly the temperature change is referring to. Is it the change in temperature of the entire solution or just a specific component? Once that is determined, I would use the formula Q = mcΔT to calculate the heat (Q) absorbed or released by the solution, where m is the mass of the solution and c is the specific heat capacity of the solution. The specific heat capacity of a solution can be calculated by taking the weighted average of the specific heat capacities of the individual components.

Assuming the density of HCl is the same as water, I would also need to know the concentration of the HCl solution to calculate the mass of HCl present. This can be done using the formula M1V1 = M2V2, where M1 is the initial molarity of the HCl solution, V1 is the initial volume of the solution, M2 is the final molarity of the solution (which would be the same as the initial molarity since the density is the same), and V2 is the final volume of the solution after the temperature change.

Once the concentration of the HCl solution is known, the mass of HCl present can be calculated using its molar mass. From there, the mass of the water in the solution can be determined by subtracting the mass of HCl from the total mass of the solution.

Overall, the key to calculating the mass of the solution that underwent the temperature change is to first determine the heat absorbed or released, and then use the appropriate formulas and information to solve for the mass of the solution. It is important to carefully consider all relevant factors, such as the specific heat capacity and concentration of the solution, to ensure an accurate calculation.