Understanding Molarity and Molality in Solutions
Solutions are combinations of solvent and solute, with varying concentrations affecting their properties. Molarity and molality are key measures of concentration, and saturation levels impact solubility. Explore examples to calculate molarity for solutions in different scenarios.
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Solutions Are a combination of at least two ingredients, such as water and salt The substance in the larger quantity is the solvent The substance in the smaller quantity is the solute Are homogeneous mixtures Don t have to be liquids Air is a solution composed of nitrogen (the solvent), oxygen, water vapor, carbon dioxide, and other gases Brass is a solution composed of copper and zinc
Concentration The higher the ratio of solute to solvent, the more concentrated the solution Example: Kool-Aid can be as diluted or concentrated as you want it to be, just add more water to dilute the drink The wrong concentration can cause an object to work improperly or be harmful to living things Example: Eye drops for humans can be harmful for a canine because of the different concentration requirements
Saturation When the solute and solvent are put together, there is a limit as to how much solute can be dissolved Saturated solution: no more solute will dissolve at a specific temperature Unsaturated solution: more of the solute can be dissolved at the same temperature Supersaturated solution: an unstable and temporary situation where the solution contains more dissolved solute than it normally would Occurs when there is a change in temperature, volume, or pressure
Molarity (M) The number of moles of solute per liter of solution M = moles liter Deals with concentration
Molarity Example 1 What is the molarity of a solution made by dissolving 0.3 mole of Ca(NO3)2in enough water to make 500 mL of solution? M = moles liter = 0.3 mol 0.5 liter = 0.6 M Ca(NO3)2
Molarity Example 2 How much 0.5 M NaCl can be made from 0.1 mole of NaCl? M = moles liter 0.5 M = 0.1 mole x liters 0.5x = 0.1 x = 0.2 L NaCl
Molarity Example 3 What is the molarity of an Epsom salt (MgSO4) solution made by dissolving 6 grams of it in enough water to make 2 liters of solution? Step 1: convert grams to moles 6 g MgSO4x 1 mol MgSO4 120.366 g MgSO4 Step 2: M = moles liter M = 0.05 mol = 0.03 M MgSO4 2 liters = 0.05 mol MgSO4
Molarity Example 4 How many grams of KOH are needed in order to prepare 2 liters of a 0.25 M solution? Step 1: M = moles liter 0.25 M = x mol 2 L x = 0.5 mol KOH Step 2: convert moles to grams 0.5 mol KOH x 56.1049 g KOH = 30 g KOH 1 mol KOH
Molality (m) The number of moles of solute per kilogram of solvent m = moles of solute kilogram of solvent Also deals with concentration, but used less frequently
Molality Example 1 Calculate the molality of an antifreeze solution made by dissolving 186 g of antifreeze (C2H6O2) in 2 kg of water. Step 1: Convert grams to moles 186 g C2H6O2x 62.0674 g C2H6O2 Step 2: m = moles of solute kilogram of solvent m = 3.00 mol = 2 m C2H6O2 2 kg 1 mol C2H6O2 = 3.00 mol C2H6O2
Molality Example 2 How many grams of lye (NaOH) should be added to 800 g of water in order to make a 0.5 m solution? Step 1: Convert g of solvent to kg of solvent 800 g x 1 kg = 0.8 kg 1000 g Step 2: Solve for grams of solute m = moles of solute kilogram of solvent 0.5 m = x mol = 0.4 mol NaOH 0.8 kg Step 3: Convert mol NaOH to g NaOH 0.4 mol NaOH x 39.9959 g NaOH = 20 g NaOH 1 mol NaOH
