Given the partial equation: VO2++ Mn2+ → VO2++ MnO4−, balance the reaction in acidic solution using the half-reaction method and fill in the coefficients. The missing blanks represent H2O, H+, or OH-, as required to balance the reaction. Enter the coefficients as integers, using the lowest whole numbers. If the coefficient for something is "1", make sure to type that in and not leave it blank. Enter only the coefficients. VO2++ Mn2+ + → VO2++ MnO4− +

Mn^2+(aq) + 4H2O(l) + 5[VO2]^+(aq) + 10H^+(aq) >MnO4^-(aq) + 8H^+(aq) + 5[VO]^2+(aq) + 5H2O(l)

Explanation:

Oxidation half equation:

Mn^2+(aq) + 4H2O(l) > MnO4^-(aq) + 8H^+(aq) + 5e

Reduction half equation:

5[VO2]^+(aq) + 10H^+(aq) + 5e > 5[VO]^2+(aq) + 5H2O(l)

Overall redox reaction equation:

Mn^2+(aq) + 4H2O(l) + 5[VO2]^+(aq) + 10H^+(aq) >MnO4^-(aq) + 8H^+(aq) + 5[VO]^2+(aq) + 5H2O(l)

c-14 is carbon-14, or radiocarbon.   it is a radioactive isotope of carbon with an atomic nucleus containing 6 protons and 8 neutrons.