Final answer:
To calculate the heat released when 100.0 mL of 0.500 M HCl reacts completely, calculate the moles of HCl using Molarity (M) and the equation M = n/V. Then, use the provided thermochemical equation to find the heat released when 0.0500 mol of HCl reacts. The heat released is 2.9 kJ.
Step-by-step explanation:
To calculate the heat released when 100.0 mL of 0.500 M HCl reacts completely, we need to first calculate the moles of HCl. Molarity (M) is defined as moles of solute per liter of solution. Since we have 100.0 mL of solution, we can convert it to liters by dividing by 1000. Using the equation M = n/V, we can rearrange it to solve for n: n = MV. Therefore, n = (0.500 mol/L) * (100.0 mL / 1000 mL/L) = 0.0500 mol.
The heat released when 0.0500 mol of HCl reacts completely can be calculated using the thermochemical equation given in one of the provided examples. According to the equation, 2.9 kJ of heat are produced when 0.0500 mol of HCl reacts. Therefore, the heat released when 0.0500 mol of HCl reacts completely can be calculated using a proportion: Heat released = (0.0500 mol / 0.0500 mol) * 2.9 kJ = 2.9 kJ.