Consider the reaction A to 2 B. Initially 2.4 moles of A and 0.14 moles of B are present. What are the amounts of A and B present when the extent of reaction is 0.7 moles?
The extent of reaction is a useful quantity in computations with equilibrium reactions. Let us consider the reaction
A ⇌ 2B
where the initial amounts are nA = 2.14 mol, nB = 0.14 mol.
Extend of reaction = delta nA/VA; where V is the stoichiometric number of reactant; Substitute the values into the above equation.
Extend of reaction = delta nA/VA
Extend of reaction * VA = delta nA
0.7*-1 moles =2.4 moles - x moles
x = 1.7 moles; So, A = 1.7 moles when the extent of reaction is 0.7
Now, we need to calculate for nB
Extend of reaction = delta nA/VA
Extend of reaction * VA = delta nA
0.7 * -2 = 0.14 moles -x moles
-1.4 - 0.14 moles = - x moles
1.54 moles = nB
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