Question

Calculate the final temperature (in °C) of a solution formed when 147.1 g of a soluble solid (124.2 g/mol, AHso/ = 57.90 kJ/mol) is added to 605.0 mL of water (d = 1.000 g/ml) at an initial temperature of 24.70 °C. You can assume that the specific heat capacity of the final solution is 4.184 J/g°C Type your answer... Next

Answer 1

24.82 °C

Step-by-step explanation:

To calculate the final temperature of the solution, we can use the equation:

q = mcΔT

Where:

q is the heat gained or lost by the solution,

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 mass of the solution:

Given that the mass of the soluble solid is 147.1 g and the density of water is 1.000 g/mL, we can calculate the mass of the water in the solution using the volume of water:

mass of water = volume of water × density of water

mass of water = 605.0 mL × 1.000 g/mL

mass of water = 605.0 g

Next, let's calculate the heat gained or lost by the solution:

q = AHso = 57.90 kJ/mol × (147.1 g / 124.2 g/mol)

q = 68.80 kJ

Now, let's calculate the change in temperature:

q = mcΔT

ΔT = q / (mc)

ΔT = 68.80 kJ / (605.0 g + 147.1 g) × 4.184 J/g°C

ΔT = 0.119 °C

Finally, let's calculate the final temperature:

Final temperature = Initial temperature + ΔT

Final temperature = 24.70 °C + 0.119 °C

Final temperature ≈ 24.82 °C

Therefore, the final temperature of the solution is approximately 24.82 °C.

Answer 2

To calculate the final temperature of the solution, use the equation q = mcΔT. Calculate the heat absorbed by the water, then calculate the moles of the soluble solid. Finally, use the heat of solution to calculate the heat released by the solid.

Step-by-step explanation:

To calculate the final temperature of the solution, we can use the equation q = mcΔT, where q is the heat absorbed or released, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. First, calculate the heat absorbed by the water using the equation q = mcΔT. Then, calculate the moles of the soluble solid using the given mass and molar mass. Finally, use the heat of solution to calculate the heat released by the solid. Subtract the heat released by the solid from the heat absorbed by the water to find the total heat absorbed. Use this value to calculate the final temperature of the solution using the equation q = mcΔT.