The balanced equation is: LiAlH₄ + AlCl₃ → AlH₃ + LiCl with sum of coefficients being (c) 11.
Balancing the equation involves adjusting the coefficients to ensure the same number of each type of atom on both sides.
Starting with the reactants, two Li atoms on the left require a coefficient of 2 in front of LiAlH₄.
This also results in two Al atoms on the left, requiring a coefficient of 2 in front of AlCl₃.
However, this leads to six H atoms on the right side.
Adjusting the coefficient in front of AlH₃ to 4 balances the equation.
The final coefficients are: 2 LiAlH₄ + 2 AlCl₃ → 4 AlH₃ + 2 LiCl.
The sum of coefficients is 2 + 2 + 4 + 2 = 10 + 1 = 11.
So, the balanced equation is achieved by adjusting the coefficients of the reactants and products. The sum of these coefficients is 11, satisfying the law of conservation of mass.