Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

balance the following chemical equation (if necessary): na_{3}po_{4}(aq…

Question

balance the following chemical equation (if necessary): na_{3}po_{4}(aq)+nicl_{2}(aq)\to ni_{3}(po_{4})_{2}(s)+nacl(aq)

Explanation:

Step1: Count atoms on both sides

On the left - hand side (LHS):

  • Sodium (\(Na\)): \(3\) atoms (from \(Na_3PO_4\))
  • Phosphorus (\(P\)): \(1\) atom (from \(Na_3PO_4\))
  • Oxygen (\(O\)): \(4\) atoms (from \(Na_3PO_4\))
  • Nickel (\(Ni\)): \(1\) atom (from \(NiCl_2\))
  • Chlorine (\(Cl\)): \(2\) atoms (from \(NiCl_2\))

On the right - hand side (RHS):

  • Nickel (\(Ni\)): \(1\) atom (from \(Ni_3(PO_4)_2\))
  • Phosphorus (\(P\)): \(2\) atoms (from \(Ni_3(PO_4)_2\))
  • Oxygen (\(O\)): \(8\) atoms (from \(Ni_3(PO_4)_2\))
  • Sodium (\(Na\)): \(1\) atom (from \(NaCl\))
  • Chlorine (\(Cl\)): \(1\) atom (from \(NaCl\))

Step2: Balance \(Ni\) atoms

To balance \(Ni\) atoms, put a coefficient of \(3\) in front of \(NiCl_2\) on the LHS.
The equation becomes \(Na_3PO_4+3NiCl_2
ightarrow Ni_3(PO_4)_2 + NaCl\)

Step3: Balance \(PO_4\) groups

To balance \(PO_4\) groups, put a coefficient of \(2\) in front of \(Na_3PO_4\) on the LHS.
The equation becomes \(2Na_3PO_4 + 3NiCl_2
ightarrow Ni_3(PO_4)_2+NaCl\)

Step4: Balance \(Na\) and \(Cl\) atoms

Now, for \(Na\) atoms: on the LHS, we have \(2\times3 = 6\) \(Na\) atoms (from \(2Na_3PO_4\)). On the RHS, to balance \(Na\) atoms, put a coefficient of \(6\) in front of \(NaCl\).
The balanced equation is \(2Na_3PO_4+3NiCl_2 = Ni_3(PO_4)_2+6NaCl\)

Answer:

\(2Na_3PO_4+3NiCl_2 = Ni_3(PO_4)_2+6NaCl\)