Question

What is the maximum measured temperature in the styrofoam cup after mixing a 61 ml sample of 1 M NaOH with 53 ml of 1 M H2SO4, assuming the density of the mixed solution is 1 g/ml, the specific heat of the mixed solution is 4.18 J/g°C, and no heat is lost to the surroundings? The reaction has a ΔHrxn of -114 kJ for the neutralization of NaOH with H2SO4.

A) 35.9°C
B) 37.2°C
C) 38.6°C
D) 40.1°C

Answer 1

The maximum measured temperature in the styrofoam cup is 38.6°C. The maximum measured temperature in the styrofoam cup after mixing the solutions can be determined using the q(solution) + q(calorimeter) = 0 equation.

Step-by-step explanation:

The maximum measured temperature in the styrofoam cup can be calculated using the equation:

q(solution) + q(calorimeter) = 0

We know that q(solution) = ΔHrxn and q(calorimeter) = (mass of calorimeter)(specific heat of calorimeter)(ΔT) Using the given information, we can calculate the q(solution) by multiplying the moles of NaOH by the ΔHrxn. The moles of NaOH can be calculated by multiplying the volume of NaOH by its molarity. Finally, we can calculate ΔT by dividing q(solution) by the sum of the mass of the solution and the mass of the calorimeter. Following these steps, we can determine that the maximum measured temperature in the styrofoam cup is 38.6°C