Answer: The limiting reagent is oxygen gas.
Explanation:
Limiting reagent is defined as the reactant that is present in less amount and it limits the formation of products.
Excess reagent is defined as the reactant which is present in large amount.
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] .....(1)
Given mass of propane = 30.0 g
Molar mass of propane = 44.1 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of propane}=\frac{30.0g}{44.1g/mol}=0.680mol[/tex]
Given mass of oxygen = 75.0 g
Molar mass of oxygen = 32 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of propane}=\frac{75.0g}{32g/mol}=2.34mol[/tex]
The chemical equation for the combustion of propane follows:
[tex]C_3H_8(g)+5O_2(g)\rightarrow 3CO_2(g)+4H_2O(l)[/tex]
By Stoichiometry of the reaction:
5 moles of oxygen gas reacts with 1 mole of propane.
So, 2.34 moles of oxygen gas will react with = [tex]\frac{1}{5}\times 2.34=0.468mol[/tex] of propane
As, given amount of propane is more than the required amount. So, it is considered as an excess reagent.
Thus, oxygen is considered as a limiting reagent because it limits the formation of product.
Hence, the limiting reagent is oxygen gas.