Question

Determine whether each of the following is balanced or not balanced:

a. $\mathrm{S}\left(\mathrm{s}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)\to {\mathrm{SO}}_3\left(\mathrm{g}\right)$

b.$2\mathrm{Ga}\left(\mathrm{s}\right)+3{\mathrm{Cl}}_2\left(\mathrm{g}\right)\to 2{\mathrm{GaCl}}_3\left(\mathrm{s}\right)$

c.${\mathrm{H}}_2\left(\mathrm{g}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)\to {\mathrm{H}}_2\mathrm{O}\left(\mathrm{g}\right)$

d.${\mathrm{C}}_3{\mathrm{H}}_8\left(\mathrm{g}\right)+5{\mathrm{O}}_2\left(\mathrm{g}\right)\stackrel{∆}{\to }3{\mathrm{CO}}_2\left(\mathrm{g}\right)+4{\mathrm{H}}_2\mathrm{O}$

Short answer

(a) The given eq. is not balanced

(b) The given eq. is balanced

(c) The given eq. is not balanced

(d) The given eq. is balanced

Step-by-step solution

Part (a) Step 1: Given information

We need to find whether the given eq. i.e. $\mathrm{S}+{\mathrm{O}}_2\to {\mathrm{SO}}_3$is balanced or not

Part (a) Step 1: Explanation

We know that

A balanced eq. is that in which no. of atoms of each element of the reactants is equal to that of the products

And in the given reaction no. of atoms of oxygen of reactant are not equal to that of products.

Therefore, The given eq. is not balanced

Part (b) Step 1: Given information 

We need to find that whether the given eq. i.e.$2\mathrm{Ga}+3{\mathrm{Cl}}_2\to 2{\mathrm{GaCl}}_3$ is balanced or not

Part (b) Step 1: Explanation 

We know that

A balanced eq. is that in which no. of atoms of each element of the reactants is equal to that of the products

Therefore, The given eq. is balanced

Part (c) Step 1: Given information 

We need to find that whether the given eq. i.e.${\mathrm{H}}_2+{\mathrm{O}}_2\to {\mathrm{H}}_2\mathrm{O}$ is balanced or not

Part (c) Step 1: Explanation 

We know that

A balanced eq. is that in which no. of atoms of each element of the reactants is equal to that of the products

And in the given reaction no. of atoms of oxygen of reactant are not equal to that of products.

Therefore, The given eq. is not balanced

Part (d) Step 1: Given information 

We need to find that whether the given eq. i.e. ${\mathrm{C}}_3{\mathrm{H}}_8+5{\mathrm{O}}_2\stackrel{∆}{\to }3{\mathrm{CO}}_2+4{\mathrm{H}}_2\mathrm{O}$is balanced or not

Part (d) Step 1: Explanation 

We know that

A balanced eq. is that in which no. of atoms of each element of the reactants is equal to that of the products

Therefore, The given eq. is balanced