Question

How much carbon dioxide is produced on heating of 1 kg of carbon?

Answer 1

Hint: We know that Carbon dioxide is a naturally occurring gas in the environment, that is a by product of the respiratory activities carried out by humans and animals. The chemical formula of Carbon dioxide is $ C{O_2} $ . It can be seen that one molecule of Carbon dioxide consists of 1 atom of Carbon (with chemical symbol $ C $ ) and 2 atoms of oxygen (with chemical symbol $ O $ ).

Complete Step by Step answer
We know carbon dioxide as a naturally occurring gas in earth’s atmosphere. It is also a by-product of the respiration of humans and other living organisms. It is also needed in the atmosphere for the growth of plants that take in carbon dioxide gas during the process of photosynthesis. We also know that the chemical formula of carbon dioxide is $ C{O_2} $ and it consists of 1 atom of carbon and 2 atoms of oxygen that form the compound.
We can also deduce from the formula that carbon can be burned in the presence of oxygen (or in other words, can undergo combustion) to produce the gas carbon dioxide.
 $ C + {O_2}\xrightarrow{{}}C{O_2} $
From this we can see that 1 mole of carbon produces 1 mole of carbon dioxide on combustion in the presence of oxygen. We know that the atomic weight of carbon is $ 12{\text{g}} $ and the molecular weight of one mole of carbon dioxide is $ \left( {12 + 2 \times 16} \right) = 44{\text{g}} $ .
Thus, we know that $ 12 \times {10^{ - 3}}{\text{Kg}} $ of carbon produces, $ 44 \times {10^{ - 3}}{\text{kg}} $ of carbon dioxide. So $ 1{\text{kg}} $ of Carbon will produce, $ \dfrac{{44 \times {{10}^{ - 3}}}}{{12 \times {{10}^{ - 3}}}}{\text{kg}} $ of carbon dioxide.
Simplifying the result, we get,
 $ {M_{C{O_2}}} = \dfrac{{44}}{{12}} = 3.67{\text{Kg}} $
Thus, the amount of carbon dioxide produced by burning 1 kg of Carbon is $ {M_{C{O_2}}} = 3.67{\text{Kg}} $ .

Note
Combustion of fuels in running vehicles are a practical example of the burning of carbon to produce carbon dioxide. Fuels are long chain hydrocarbons and burning of the fuel produces large amounts of carbon dioxide into the atmosphere.