Question: If \[C{{O}_{2}}\] contains \[27.27%\] of carbon, \[C{{S}_{2}}\] contains \[15.79%\] of carbon, \[S{{...

Question

If $C{{O}_{2}}$ contains $27.27%$ of carbon, $C{{S}_{2}}$ contains $15.79%$ of carbon, $S{{O}_{2}}$ contains $50%$ Sulphur. What will be the ratio of $S:O$ in $S{{O}_{2}}$ ?
A. $1:1$
B. $1:2$
C. $2:1$
D. $3:2$

Answer 1

Solution

We know that the matter transfers from one form to another. The transformation is the result of a combination of two different types of matter. They mainly focus on mass, volume and different proportions in which matter can exist.

Complete answer:
The law of conservation of mass states that matter can neither be created nor be destroyed in a chemical reaction. The law explains that in a chemical reaction, mass of reactants and the mass of products will always be equal. According to the law of conservation of mass, mass can neither be created nor be destroyed. The law is also known as law of constant proportions. The law of definite proportions states that in a chemical substance, the elements are always present in definite proportions by mass.
In carbon dioxide $27.27%$ Carbon and $72.73%$ Oxygen is present and the ratio of Carbon to Oxygen $=C:O=\left[ \left( 27.27 \right):\left( 72.73 \right) \right]=1:2667$ ……………(i)
In $C{{S}_{2}},$ $15.97%$ Carbon and $84.03%$ of Sulphur is present and the ratio of Carbon to Sulphur $=C:S.$ Thus, $1g$ of Carbon combines with $=\dfrac{84.21}{15.79}=5.333g$ of Sulphur. The ratio of different masses of Sulphur and Oxygen combining with fixed mass of Carbon is $\left[ \left( 5.33 \right):\left( 2.67 \right) \right]=2:1$ ……………(ii)
In $S{{O}_{2}},\text{ }50%$ of Sulphur and $50%$ of Oxygen is present and rate of Sulphur to Oxygen $=50:50=1:1$ ……………(iii)
The analyzed data represented by the law of reciprocal proportions. The ratio of different masses of Sulphur and Oxygen combining with fixed mass of carbon is a simple whole number which is $1:1.$
Therefore, the correct answer is option A.

Note:
Remember that the laws of chemical combination describe the basic principles that are obeyed by the atoms or molecules that interact. These interactions can include different combinations. The laws of chemical combination give a mathematical formulation and allow us to predict the reactions.