Final answer:
The volume occupied by 26.6 g of argon gas at a pressure of 1.29 atm and a temperature of 355 K is 15.91 L.
Step-by-step explanation:
The question is asking for the volume occupied by 26.6 g of argon gas at a pressure of 1.29 atm and a temperature of 355 K. We can use the ideal gas law to solve this problem. The ideal gas law equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
We need to convert the given mass of argon gas to moles. The molar mass of argon is about 39.948 g/mol. Using the formula: moles = mass / molar mass, we can find that moles = 26.6 g / 39.948 g/mol = 0.667 mol.
Now, we can rearrange the ideal gas law to solve for V:
V = (nRT) / P
Plugging in the known values, we get: V = (0.667 mol)(0.0821 L/mol·K)(355 K) / 1.29 atm = 15.91 L.