Question

How would you balance $N{a_2}C{O_3} + BaC{l_2} \to NaCl + BaC{O_3}?$

Answer 1

Hint: A chemical equation consists of the chemical formulas of the reactant and the chemical formula of the products. The two are separated by an arrow symbol and each individual substance chemical formula is separated from other by a plus sign.

Complete step by step answer:
In the balance equation each side of the chemical equation must represent the same quantity of any particular element. In a balanced chemical reaction law the conservation of mass dictates therefore the same charge must be present on both sides of the balanced equation.
One balances a chemical equation by changing the scalar number for each chemical formula. Simple chemical equations can be balanced by trial and error or solving a system of linear equations.
Trial error or inspection method is as follow:
(1) Putting one coefficient in front of the most complex chemical formula and putting the other coefficient. Before everything else such that both sides have the same number of each atom.
(2) If any fractional coefficient exists, multiply every coefficient with the smallest number required to make them. Whole typically the denominator of the fractional coefficient for a reaction with a single fraction coefficient.
We have: $N{a_2}C{O_3} + BaC{l_2} \to NaCl + BaC{O_3}$
We have two atoms of $Na$ on LHS and $1$ on RHS.
Make the coefficient of $NaCl$ as $2$
We get,
$N{a_2}C{O_3} + BaC{l_2} \to 2NaCl + BaC{O_3}$
We have an equal number of atoms of all the elements equal on both sides. Therefore our equation is balanced.

Additional Information:
Law of conservation or principle of mass states that for any system closed to all transfers of matter and energy the mass of the system must remain constant over time, as the system mass cannot change, so quantity can neither be added nor be removed. During any thermodynamics process is an isolated system, the total mass of the reactants or starting materials, must be equal to the mass of the products. Techniques have been developed to quickly calculate a set of ${J_N}$ independent solutions to the balancing problem and are superior to the inspection and algebraic method in that they are determined and yield all solutions to balancing problems.

Note: The conservation of mass only holds approximately and is considered part of a series of assumptions coming from classical mechanics and special relativity under the principle of mass energy equivalence, which states that energy and mass form one conserved quantity. Mass is also not generally conserved in an open system. For some molecules and ions, it is difficult to determine which lone pair should be moved to form double or triple bonds and two or more different structures may be written for the same molecule or ion. When this situation occurs the molecules, Lewis structure is said to be a resonance structure and the molecule exists as a resonance hybrid.