Question #76590

Chloroform (CHCl3), an important solvent, is produced by a reaction between methane and chlorine.
CH4(g) + 3 Cl2(g) CHCl3(g) + 3 HCl(g)
How many grams of CH4 is needed to produce 37.5 g CHCl3?

Expert's answer

Answer on Question #76590 – Chemistry – Other

Task:

Chloroform (CHCl₃), an important solvent, is produced by a reaction between methane and chlorine.


CH4(g)+3Cl2(g)=CHCl3(g)+3HCl(g)\mathrm{CH_4}(g) + 3\mathrm{Cl_2}(g) = \mathrm{CHCl_3}(g) + 3\mathrm{HCl}(g)


How many grams of CH₄ is needed to produce 37.5 g CHCl₃?

Solution:

M(CH4)=16.04g/mol;M(CH_4) = 16.04 \, \mathrm{g/mol};M(CHCl3)=119.38g/mol.M(CHCl_3) = 119.38 \, \mathrm{g/mol}.


The reaction equation:


CH4(g)+3Cl2(g)=CHCl3(g)+3HCl(g)\mathrm{CH_4}(g) + 3\mathrm{Cl_2}(g) = \mathrm{CHCl_3}(g) + 3\mathrm{HCl}(g)


By the equation of the chemical reaction: n(CH4)=n(CHCl3)n(\mathrm{CH_4}) = n(\mathrm{CHCl_3}).


n(CH4)=m(CH4)M(CH4)n(CH_4) = \frac{m(CH_4)}{M(CH_4)}n(CHCl3)=m(CHCl3)M(CHCl3).n(CHCl_3) = \frac{m(CHCl_3)}{M(CHCl_3)}.


Then,


m(CH4)M(CH4)=m(CHCl3)M(CHCl3);\frac{m(CH_4)}{M(CH_4)} = \frac{m(CHCl_3)}{M(CHCl_3)};m(CH4)=m(CHCl3)M(CH4)M(CHCl3);m(CH_4) = \frac{m(CHCl_3) * M(CH_4)}{M(CHCl_3)};m(CH4)=37.516.04119.38=5.0385.04gm(CH_4) = \frac{37.5 * 16.04}{119.38} = 5.038 \approx 5.04 \, \mathrm{g}


Answer: m(CHCl3)=5.04gm(\mathrm{CHCl_3}) = 5.04 \, \mathrm{g}

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