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It is necessary first to determine how many moles of chlorine there are in the volume specified. Using the ideal gas law, 40 cm3 of chlorine is equivalent to 0.129 grams of Cl2, or 3.63 millimoles. Next, the stoichiometric equation is set up. X H2 + Y Cl2 -- reacts --> Z HCl. It can be clearly seen that X = 1, Y = 1, and Z = 2. This means that for every mole of chlorine that reacts, 2 moles of hydrogen chloride is produced. Then, we have 7.26 millimoles of HCl. Reversing the ideal gas law, this means the resulting volume of HCl gas is .224 cm3. The reason for the smaller volume is due to the differences in the molar weight of chlorine and hydrogen chloride (70.906 g/mol and 36.461 g/mol respectively).

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How many grams of hydrogen chloride can be produced from 0.490 g of hydrogen and 50.0 g of chlorine?

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