Final answer:
To calculate the total pressure of a mixture of gases in a vessel, use the ideal gas law equation PV=nRT. Convert the temperature to Kelvin, sum the moles, select the correct R value, and perform the calculation to solve for the pressure.
Step-by-step explanation:
The question involves using the ideal gas law equation to determine the total pressure of a mixture of gases in a closed container at a specific temperature. The ideal gas law is represented by the equation PV=nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.
In this scenario, to find the total pressure at 55.0 degrees Celsius in a 16.0 L vessel containing a mixture of 8.25 moles of gas A and 2.80 moles of gas B, we first convert the temperature to Kelvin by adding 273.15 to the Celsius temperature. Then, we sum the moles of both gases to find the total moles, which is 11.05 moles (8.25 + 2.80). We use the value for the ideal gas constant R that has the units compatible with the given volume and desired pressure units, typically 0.0821 L·atm/(K·mol) for atm or 8.314 J/(K·mol) for Pa, and perform the calculation P = (nRT)/V to solve for the pressure.