What mass of sodium chloride, NaCl, is made when 200 L of chlorine gas, Cl_2, reacts with excess sodium metal?

1 Answer
May 21, 2017

1044 g of NaCl are produced, since there are 8.93 mol of Cl_2 gas and each mole of Cl_2 produces 2 mol of NaCl.

Explanation:

One mole of an ideal gas has a volume of 22.4 L at STP. Chlorine is not a perfectly ideal gas but can be treated as one at this temperature and pressure.

The number of moles of gas, then, is given by n=V/22.4 = 200/22.4 = 8.93 mol

Looking at the balanced equation, each 1 mol of Cl_2 yields 2 mol of NaCl, so 8.93 mol of Cl_2 yields 2xx8.93 =17.86 mol of NaCl.

The molar mass of NaCl is 58.44 g. To find the mass of the product, we take n=m/M and rearrange to make m the product. m=nM = 17.86xx58.44 = 1044 g (with some rounding)