number of moles (mol) = concentration (mol dm-3) x volume (dm3)
mass of solute (g) = number of moles (mol) x molar mass (g mol-1)
Calculating volume from concentration
Calculate the volume of hydrochloric acid of concentration 1.0 mol dm-3 that is required to react completely with 2.5 g of calcium carbonate
Answer
Step 1: Write the balanced symbol equation
CaCO3 + 2HCl → CaCl2 + H2O + CO2
Step 2: Calculate the amount, in moles, of calcium carbonate that reacts
Step 3: Calculate the moles of hydrochloric acid required using the reaction’s stoichiometry
1 mol of CaCO3 requires 2 mol of HCl
So 0.025 mol of CaCO3 requires 0.05 mol of HCl
Step 4: Calculate the volume of HCl required
Volume of hydrochloric acid = 0.05 dm3
Neutralisation calculation
25.0 cm3 of 0.050 dm-3 sodium carbonate was completely neutralised by 20.00 cm3 of dilute hydrochloric acid. Calculate the concentration in mol dm-3 of the hydrochloric acid.
Answer
Step 1: Write the balanced symbol equation
Na2CO3 + 2HCl → 2NaCl + H2O + CO2
Step 2: Calculate the amount, in moles, of sodium carbonate reacted by rearranging the equation for amount of substance (mol) and dividing the volume by 1000 to convert cm3 to dm3
amount (Na2CO3) = 0.025 dm3 x 0.050 mol dm-3 = 0.00125 mol
Step 3: Calculate the moles of hydrochloric acid required using the reaction’s stoichiometry
1 mol of Na2CO3 reacts with 2 mol of HCl, so the molar ratio is 1 : 2
Therefore 0.00125 moles of Na2CO3 react with 0.00250 moles of HCl
Step 4: Calculate the concentration, in mol dm-3, of hydrochloric acid
concentration (HCl) (mol dm-3) = 0.125 mol dm-3
volume of gas (dm3) = amount of gas (mol) x 24 dm3 mol-1
Calculation volume of gas using excess & limiting reagents
Calculate the volume the following gases occupy:
Calculate the moles in the following volumes of gases:
Answer
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