StoichiometryEasy

Moles and molar mass

Given 25.0 g of NaOH (M = 40.0 g/mol), calculate the number of moles and the mass corresponding to 0.500 mol.
Given data
m(NaOH) = 25.0 gM(NaOH) = 40.0 g/mol
Review the theory: Stechiometria
Steps
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  1. Calculate the moles of NaOH using n=m/Mn = m/M.
  2. Calculate the mass corresponding to 0.500 mol of NaOH.
Full worked solution
  1. Calculate the moles of NaOH using n=m/Mn = m/M.
    n=mM=25.040.0n = \frac{m}{M} = \frac{25.0}{40.0}
    n=m/M=25.0/40.0=0.625 moln = m/M = 25.0/40.0 = \mathbf{0.625\,mol}. The number of moles is obtained by dividing the mass by the molar mass.
  2. Calculate the mass corresponding to 0.500 mol of NaOH.
    m=n⋅M=0.500⋅40.0m = n \cdot M = 0.500 \cdot 40.0
    m=n⋅M=0.500⋅40.0=20.0 gm = n \cdot M = 0.500 \cdot 40.0 = \mathbf{20.0\,g}. The mass is obtained by multiplying the moles by the molar mass.
Result:n = 0.625 mol; mass for 0.500 mol = 20.0 g.