To determine how many molecules of chlorine are needed to react with 2.00 mol of carbon, we first need the balanced chemical equation for the reaction. For instance, if we consider the reaction ( C + Cl_2 \rightarrow CCl_4 ), it shows that 1 mole of carbon reacts with 1 mole of ( Cl_2 ). Therefore, for 2.00 mol of carbon, 2.00 mol of ( Cl_2 ) would be needed. Since 1 mole contains ( 6.022 \times 10^{23} ) molecules, you would need ( 2.00 \times 6.022 \times 10^{23} ) molecules of chlorine, which equals ( 1.2044 \times 10^{24} ) molecules.
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