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4) (10 pts) The dissolution of copper sulfide in aqueous nitric acid is described by the following chemical equation: aCuS + bNO3 + cH+ + dCu2+ + eS02 +fNO + 3H20 where the coefficients a, b, c, d, e, f, and g are the numbers of the various molecules participating in the reaction and are unknown. The unknown coefficients are determined by balancing each atom on the left and right, and then balancing the ionic charge. The resulting equations in matrix form are: r1 0 1 0 0 1 0 3 0 0 0 -1 L1 0 OWROO 0 -1 0 0 0 0 -1 0 0 0 -1 0 0 -4 -1 -1 1 0 0 -2 1 -2 2 0 0 0 0 0 ܘ ܘ ܝܙ ܝܙ ܘ ܘ ܘ ๐๐๐ TT b с d O O O O O 0 0 0 e f The last equation (the last row of the above matrix) must be determined by forcing all other coefficients to be positive integers. Guess a value of n = 1 initially, and see if a valid solution is determined. If not, try n = 2 and so forth until you obtain a valid solution (all positive integers for coefficients). Display the coefficients and value of n.