Question

In the combustion of ethane , co2 is produced. Which is used to make dry ice. How many lbs of ethane is to be used to make 300 lb of dry ice

Answer 1

300 is the answer to the question

Answer 2

Answer: The mass of ethane used is 102.51 lb

Explanation:

To calculate the number of moles, we use the equation:

$\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}$      .....(1)

Given mass of carbon dioxide = 300 lb = 136077.6 g     (Conversion factor: 1 lb = 453.592 g)

Molar mass of carbon dioxide = 44 g/mol

Putting values in equation 1, we get:

$\text{Moles of carbon dioxide}=\frac{136077.6g}{44g/mol}=3092.7mol$

The chemical equation for the combustion of ethane follows:

$2C_2H_6+5O_2\rightarrow 4CO_2+6H_2O$

By stoichiometry of the reaction:

4 moles of carbon dioxide is produced from 2 mole of ethane.

So, 3092.7 moles of carbon dioxide will be produced from = $\frac{2}{4}\times 3092.7=1546.35mol$

Now, calculating the mass of ethane by using equation 1, we get:

Molar mass of ethane = 30.07 g/mol

Moles of ethane = 1546.35 moles

Putting values in equation 1, we get:

$1546.35mol=\frac{\text{Mass of ethane}}{30.07g/mol}\\\\\text{Mass of ethane}=(1546.35mol\times 30.07g/mol)=46498.74g=102.51lb$

Hence, the mass of ethane used is 102.51 lb