Final answer:
To calculate the number of moles of chlorine gas in the vessel, use the ideal gas law equation PV = nRT and rearrange it to solve for n, then plug in the given values to the number of 19.75 moles of chlorine gas.
Step-by-step explanation:
To calculate the number of moles of chlorine gas in the vessel, we first need to convert the volume of the vessel from liters to moles.
Using the ideal gas law equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature, we can rearrange the equation to solve for n:
n = PV / RT
Plugging in the values given in the question (P = 33.3 atm, V = 19.0 L, T = 120°C = 393.15 K), and using the value of the ideal gas constant R = 0.0821 L·atm/(mol·K), we can calculate the number of moles of chlorine gas:
n = (33.3 atm)(19.0 L) / (0.0821 L·atm/(mol·K))(393.15 K)
= 19.75 moles of chlorine gas