How many coulombs are required to produce 18 cm³ of chlorine gas?

To determine how many coulombs are required to produce 18 cm³ of chlorine gas, we need to understand the electrolysis of sodium chloride solution (brine), where chlorine gas is produced at the anode.

Firstly, it is crucial to know that one mole of any gas at standard temperature and pressure (STP) occupies a volume of approximately 24,000 cm³. Thus, to find out how many moles are present in 18 cm³ of chlorine gas, we can use the following relationship:

[ \text{Moles of } Cl_2 = \frac{\text{Volume}}{\text{Molar Volume}} = \frac{18 , \text{cm}^3}{24000 , \text{cm}^3/\text{mol}} = 0.00075 , \text{mol} ]

Next, it is important to note that the production of one mole of chlorine gas ((Cl_2)) during electrolysis requires the transfer of 2 moles of electrons according to the half-reaction:

[ 2 , Cl^- \rightarrow Cl_2 + 2e^- ]

Therefore, the charge (in coulombs)