Question

A sample of chloroform is found to contain 12.0 g of carbon, 106.4 g of chlorine, and 1.01 g of hydrogen. If a second sample of chloroform is found to contain 30.0 g of carbon, what is the total mass of chloroform in the second sample?

Short answer

The mass of chloroform in second sample is300 g.

Step-by-step solution

Given Information

Chloroform contains 12 g of carbon, 106.4 g of chlorine and 1.01 g of hydrogen. To find the total mas of chloroform in second sample when it contains 30 g of carbon. Given that the ratio of different elements for chloroform formation. First, we need to find the percentage of our first sample to calculate the total mass of chloroform in second sample.

Calculation of total mass of chloroform

To calculate the total mass of chloroform can be denoted as,

$\begin{array}{rcl}Totalmassofchloroform& =& MassofC+MassofCl+MassofH\\ & =& 12g+106.4g+1.01g\\ & =& 119.41g\end{array}$

Calculation of mass percent of C present in sample 1 of chloroform

To calculate the mass percent of C which is present in sample 1 of chloroform can be calculated as,

$\begin{array}{rcl}Percentcarbon& =& \frac{MassofCarbon}{MassofCHC{l}_3}\times 100\\ & =& \frac{12g}{119.41g}\times 100\\ & =& 10\%\end{array}$

Calculation of total mass of second chloroform

To calculate the total mass of new sample, it is given that the mass of C is 30 g.

$\begin{array}{rcl}MassofCHC{l}_3& =& \frac{Massofcarbon}{Percentofcarbon}\times 100\\ & =& \frac{30g}{10}\times 100\\ & =& 300g\end{array}$

The mass of chloroform in new sample is 300g.