Final answer:
To find the pressure of the gas, we can use the ideal gas law equation: PV = nRT. Plugging in the given values, the pressure of the gas is 4.51 atm.
Step-by-step explanation:
The question asks for the pressure of the gas. To find the pressure, we can use the ideal gas law equation: PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. Rearranging the equation to solve for pressure, we have P = (nRT)/V.
Given in the question, the volume of the gas is 58.5 L and the number of moles is 14.5 mol. The gas constant, R, is 0.0821 L·atm/(mol·K). We also need to convert the temperature from Celsius to Kelvin, which is done by adding 273.15 to the Celsius temperature. So, 67.00 °C + 273.15 = 340.15 K.
Plugging in the values into the formula, we get P = (14.5 mol * 0.0821 L·atm/(mol·K) * 340.15 K) / 58.5 L = 4.51 atm.