Question

When 1.0 g of solid NaOH (ΔHsoln = -44.51 kJ/mol) dissolves in 10 L of water, how much heat is released? (show work)

Answer 1

When 1.0 g of solid NaOH dissolves in 10 L of water, approximately -1.11 kJ of heat is released.

Step-by-step explanation:

To calculate the amount of heat released when 1.0 g of solid NaOH (with a molar heat of solution of -44.51 kJ/mol) dissolves in 10 L of water, we need to calculate the number of moles of NaOH, then use the molar heat of solution to determine the heat released. Here's how:

1. Convert the mass of NaOH to moles using its molar mass.
2. Use the molar heat of solution to calculate the heat released when that number of moles dissolve.

Let's calculate it step by step:

1. Mass NaOH = 1.0 g * (1 mol NaOH / 40.00 g) = 0.025 mol NaOH
2. Heat released = 0.025 mol NaOH * (-44.51 kJ/mol) = -1.11 kJ

Therefore, when 1.0 g of solid NaOH dissolves in 10 L of water, approximately -1.11 kJ of heat is released.