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balance the equations below: 1) ____ n₂ + ____ h₂ → ____ nh₃ 2) ____ kc…

Question

balance the equations below:

  1. __ n₂ + h₂ → __ nh₃
  2. __ kclo₃ → kcl + __ o₂
  3. __ nacl + f₂ → naf + __ cl₂
  4. __ h₂ + o₂ → __ h₂o
  5. __ pb(oh)₂ + hcl → h₂o + __ pbcl₂
  6. __ albr₃ + k₂so₄ → kbr + __ al₂(so₄)₃
  7. __ ch₄ + o₂ → co₂ + __ h₂o
  8. __ c₃h₈ + o₂ → co₂ + __ h₂o
  9. __ c₈h₁₈ + o₂ → co₂ + __ h₂o

×10) __ fecl₃ + naoh → fe(oh)₃ + __ nacl

Explanation:

Step1: Balance the first equation

For \(N_2 + H_2
ightarrow NH_3\), there are 2 \(N\) atoms on the left. So put 2 in front of \(NH_3\). Then there are 6 \(H\) atoms on the right, so put 3 in front of \(H_2\).
\(N_2+3H_2 = 2NH_3\)

Step2: Balance the second equation

For \(KClO_3
ightarrow KCl + O_2\), there are 3 \(O\) atoms in \(KClO_3\) and 2 in \(O_2\). The least - common multiple of 3 and 2 is 6. Put 2 in front of \(KClO_3\) and 3 in front of \(O_2\). Then there are 2 \(K\) and 2 \(Cl\) atoms, so put 2 in front of \(KCl\).
\(2KClO_3=2KCl + 3O_2\)

Step3: Balance the third equation

For \(NaCl+F_2
ightarrow NaF + Cl_2\), there are 2 \(Cl\) atoms in \(Cl_2\) and 2 \(F\) atoms in \(F_2\). Put 2 in front of \(NaCl\) and 2 in front of \(NaF\).
\(2NaCl+F_2 = 2NaF+Cl_2\)

Step4: Balance the fourth equation

For \(H_2+O_2
ightarrow H_2O\), there are 2 \(O\) atoms on the left and 1 on the right. Put 2 in front of \(H_2O\), then there are 4 \(H\) atoms, so put 2 in front of \(H_2\).
\(2H_2+O_2 = 2H_2O\)

Step5: Balance the fifth equation

For \(Pb(OH)_2+HCl
ightarrow H_2O+PbCl_2\), there are 2 \(Cl\) atoms in \(PbCl_2\), so put 2 in front of \(HCl\). Then there are 4 \(H\) atoms on the left (\(2\) from \(Pb(OH)_2\) and \(2\) from \(HCl\)) and 2 on the right in \(H_2O\), so put 2 in front of \(H_2O\).
\(Pb(OH)_2 + 2HCl=2H_2O+PbCl_2\)

Step6: Balance the sixth equation

For \(AlBr_3+K_2SO_4
ightarrow KBr+Al_2(SO_4)_3\), there are 2 \(Al\) atoms in \(Al_2(SO_4)_3\), so put 2 in front of \(AlBr_3\). There are 3 \(SO_4^{2 -}\) groups in \(Al_2(SO_4)_3\), so put 3 in front of \(K_2SO_4\). Then there are 6 \(K\) atoms, so put 6 in front of \(KBr\).
\(2AlBr_3+3K_2SO_4 = 6KBr+Al_2(SO_4)_3\)

Step7: Balance the seventh equation

For \(CH_4+O_2
ightarrow CO_2+H_2O\), there is 1 \(C\) atom. For \(H\), there are 4 in \(CH_4\), so put 2 in front of \(H_2O\). Then there are 4 \(O\) atoms in \(CO_2\) and \(2H_2O\) (total 4 \(O\) atoms from \(CO_2\) and \(2H_2O\)), so put 2 in front of \(O_2\).
\(CH_4 + 2O_2=CO_2+2H_2O\)

Step8: Balance the eighth equation

For \(C_3H_8+O_2
ightarrow CO_2+H_2O\), there are 3 \(C\) atoms. So put 3 in front of \(CO_2\). There are 8 \(H\) atoms, so put 4 in front of \(H_2O\). Then the total number of \(O\) atoms is \(3\times2 + 4\times1=10\), so put 5 in front of \(O_2\).
\(C_3H_8+5O_2 = 3CO_2+4H_2O\)

Step9: Balance the ninth equation

For \(C_8H_{18}+O_2
ightarrow CO_2+H_2O\), there are 8 \(C\) atoms. So put 8 in front of \(CO_2\). There are 18 \(H\) atoms, so put 9 in front of \(H_2O\). The total number of \(O\) atoms is \(8\times2+9\times1 = 25\), so put \(\frac{25}{2}\) in front of \(O_2\). Multiply through by 2 to get rid of the fraction: \(2C_8H_{18}+25O_2 = 16CO_2+18H_2O\)

Step10: Balance the tenth equation

For \(FeCl_3+NaOH
ightarrow Fe(OH)_3+NaCl\), there are 3 \(Cl\) atoms in \(FeCl_3\), so put 3 in front of \(NaCl\). There are 3 \(OH^-\) groups in \(Fe(OH)_3\), so put 3 in front of \(NaOH\).
\(FeCl_3+3NaOH = Fe(OH)_3+3NaCl\)

Answer:

  1. \(1N_2 + 3H_2=2NH_3\)
  2. \(2KClO_3=2KCl + 3O_2\)
  3. \(2NaCl+F_2 = 2NaF+Cl_2\)
  4. \(2H_2+O_2 = 2H_2O\)
  5. \(Pb(OH)_2 + 2HCl=2H_2O+PbCl_2\)
  6. \(2AlBr_3+3K_2SO_4 = 6KBr+Al_2(SO_4)_3\)
  7. \(CH_4 + 2O_2=CO_2+2H_2O\)
  8. \(C_3H_8+5O_2 = 3CO_2+4H_2O\)
  9. \(2C_8H_{18}+25O_2 = 16CO_2+18H_2O\)
  10. \(FeCl_3+3NaOH = Fe(OH)_3+3NaCl\)