High School

A generic solid, X, has a molar mass of 79.2 g/mol. In a constant-pressure calorimeter, 39.3 g of X is dissolved in 399 g of water at 23.00 °C. X(s) — X(aq) The temperature of the resulting solutio

Answer :

Final answer:

The change in temperature of the resulting solution can be calculated using the given values and the equation q = m × c × ΔT. By substituting the values and solving the equation, you can find the change in temperature.

Explanation:

To calculate the change in temperature of the resulting solution, we can use the equation q = m × c × ΔT, where q is the heat absorbed or released, m is the mass of the solution, c is the specific heat capacity of the solution, and ΔT is the change in temperature.

First, let's calculate the number of moles of the solid, X. We can use the molar mass of X (79.2 g/mol) and the mass of X (39.3 g) to find the number of moles:

Number of moles of X = mass of X / molar mass of X

Number of moles of X = 39.3 g / 79.2 g/mol

Next, let's calculate the total mass of the solution. The mass of the solution is the sum of the mass of X and the mass of water:

Total mass of solution = mass of X + mass of water

Total mass of solution = 39.3 g + 399 g

Now, we need to calculate the specific heat capacity of the solution. The specific heat capacity of water is 4.18 J/g°C:

Specific heat capacity of solution = specific heat capacity of water

Now, we can rearrange the equation q = m × c × ΔT to solve for ΔT:

ΔT = q / (m × c)

Substituting the values we have:

ΔT = (mass of X + mass of water) × specific heat capacity of water

Finally, we can calculate the change in temperature:

ΔT = (39.3 g + 399 g) × 4.18 J/g°C

Therefore, the change in temperature of the resulting solution can be calculated using the given values.

Learn more about calculating temperature change in a solution here:

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