The balanced equation for the reaction between methane and chlorine is:
CH4 + Cl2 "\\rightarrow" CH3Cl + HCl.
As it can be seen from this equation, when 1 mole of chlorine reacts, 1 mole of chloroform is formed:
"n(Cl_2) = n(CH_3Cl)" .
Therefore, to produce 1.50 moles of chloroform, the number of the moles of chloroform needed is also 1.50 moles.
The mass "m" of a compound can be calculated as a product of its number of the moles "n" and its molar mass "M" :
"m = n\\cdot M" .
The molar mass of chlorine is 70.91 g/mol. Thus, the mass of chlorine needed is:
"m(Cl_2) = 1.50\\text{ mol}\\cdot70.91\\text{ g\/mol} = 106.4" g.
Answer: 106.4 grams of Cl2 are needed to produce 1.50 moles of chloroform from methane.
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