Calculations in Chemistry
To calculate the number of moles in a solid we use the following Mole Triangle To calculate the number of moles in a solution we use the following Mole Triangle
g n gfm c
n v
g = Mass in Grams n= Number of moles gfm=gram formula mass
n = number of moles c = concentatration (moles/litre) v= volume in litres
Examples using the Mole Triangle
Calculate the no. of moles present in 0.4g of Na OH From previous slide : If we cover up the entity we require we see that n = g/gfm
therefore
gfm of NaOH= 23+16+1= 40g
n=0.4/40 =0.01moles
Calculate the mass of 0.05 moles of Mg(Cl)2 Again from previous slide we see that if we cover up the letter we want that we get g= n gfm
therefore 0.05 95=4.75g
gfm = 24+2(35.5) =95g
Calculations contd.
Calculate the no. of moles present in 50cm3 of 0.05 molar HCl . From previous triangle we that if we cover the letter we want that n =cv/1000 therefore n= 0.0550/1000= 0.00005moles
Calculate the concentration if we have 0.1 moles dissolved in 100cm3 of water From previous triangle we see that c= n/v in litres
therefore
C = 0.1/100/1000= 0.01 moles/litre
Empirical or Simplest formula
Example: A sample of a substance was found to contain 0.12g of Magnesium and 0.19g of Fluorine. Find the simplest Formula. Rules 1. Write down all the symbols present. 2. Calculate the no of moles of each element present. 3. Compare ratios(get the smallest number of moles and divide it into all the others. 4.Write down the formula. Mg and F n =g/gfm
0.12/24 = 0.005moles
It doesnt matter if the original sample is in grams or percentages
0.19/19 = 0.01moles
0.005 : 0.01 1: 2 Mg(F)2
Neutralisation Calculations
One way of Neutralising an Acid is to add an Alkali(for other methods see reactions of acids
section).ie. Acid + Alkali Salt + water To do neutralisation calculations we use the following formula. H+ CA VA = OH- CB VB acid alkali
OH- = no. of OHH+ = no. of H+ ions CA =Concentration of acid ions in alkali in acid HCl = 1 NaOH = 1 CB= Concentration of alkali H2SO4 = 2 Ba(OH)2 = 2 VA = volume of acid H3PO4 = 3 Al(OH)3 = 3 VB =Volume of alkali
Neutralisation Calculations contd.
Example: What volume of 0.1M HCl is required to neutralise 100cm3 of 0.5M NaOH. H+ CA VA = OH- CB VB
We require to find
1 0.1 VA = 1 0.5 100 VA = 50/0.1 = 500cm3
Example:What concentration of 50cm3 KOH is used to neutralise 100cm3 of 0.05M H2SO4 H+ CA VA = OH- CB VB
We require to find
2 0.05 100 = 1 CB 50 CB = 10/50 = 0.2M
Calculations from Equations
Example: What mass of Hydrogen gas is produced when 0.12g of Magnesium is added to excess Hydrochloric Acid.
We first require to write down the balanced equation
Mg(s) + 2 HCl(aq)
From This we can see that:
Mg(Cl)2(aq) + H2(g)
To balance the equation we add a 2 in front of the HCl 1M 24g 1g
therefore
1M
1M
2g 2/24 =0.08 0.080.12 = 0.0096g of H2
0.12g