We balance chemical equations to ensure that the law of conservation of mass is satisfied. According to this law, matter cannot be created or destroyed in a chemical reaction. Therefore, the number of atoms of each element must be the same on both sides of the equation.
Balanced equation: \[ 3 \, {Zn} + 2 \, {H}_3 {PO}_4 \rightarrow {Zn}_3 {(PO}_4{)}_2 + 3 \, {H}_2 \] This balanced equation shows that 3 atoms of zinc react with 2 molecules of phosphoric acid to produce zinc phosphate and hydrogen gas.
Consider the following reaction occurring in the blast furnace. \[ {Fe}_3{O}_4(s) + 4{CO}(g) \rightarrow 3{Fe}(l) + 4{CO}_2(g) \] ‘x’ kg of iron is produced when \(2.32 \times 10^3\) kg \(Fe_3O_4\) and \(2.8 \times 10^2 \) kg CO are brought together in the furnace.
The value of ‘x’ is __________ (nearest integer).
X g of benzoic acid on reaction with aqueous \(NaHCO_3\) release \(CO_2\) that occupied 11.2 L volume at STP. X is ________ g.

In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If $\angle OPQ = 15^\circ$ and $\angle PTQ = \theta$, then find the value of $\sin 2\theta$. 