Final answer:
The volume of one mole of carbon dioxide at 2 atm pressure and 120 K is 4.926 liters, as calculated using the ideal gas law.
Step-by-step explanation:
The volume of one mole of carbon dioxide under two atmospheres of pressure at 120 kelvins can be calculated using the ideal gas law, 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.
Given that the pressure P = 2 atm, the number of moles n = 1 mol, the temperature T = 120 K, and the ideal gas constant R approximately equals 0.0821 (L·atm)/(mol·K), we can solve for V, the volume of the gas.
The equation can be rearranged to solve for V (V = nRT/P):
V = (1 mol)(0.0821 L·atm/mol·K)(120 K) / (2 atm) = 4.926 L
Therefore, one mole of carbon dioxide at 2 atm pressure and 120 K occupies a volume of 4.926 liters.