Question
If 4.01 mol of CO occupies 16.3 L, what volume will 77.6 mol of CO occupy at the same temperature and pressure? Round your answer to 3 significant figures.
Answers
GPT 3.5
Using the ideal gas law equation:
PV = nRT
where:
P = pressure (constant)
V = volume
n = number of moles
R = ideal gas constant
T = temperature (constant)
Since P, R, and T are constant, the equation can be simplified to:
V1/n1 = V2/n2
Given:
n1 = 4.01 mol
V1 = 16.3 L
n2 = 77.6 mol
V2 = unknown
V2 = V1 * (n2/n1)
V2 = 16.3 L * (77.6 mol / 4.01 mol)
V2 = 16.3 L * 19.3516
V2 = 315.7 L
Therefore, 77.6 mol of CO will occupy 315.7 L at the same temperature and pressure.
PV = nRT
where:
P = pressure (constant)
V = volume
n = number of moles
R = ideal gas constant
T = temperature (constant)
Since P, R, and T are constant, the equation can be simplified to:
V1/n1 = V2/n2
Given:
n1 = 4.01 mol
V1 = 16.3 L
n2 = 77.6 mol
V2 = unknown
V2 = V1 * (n2/n1)
V2 = 16.3 L * (77.6 mol / 4.01 mol)
V2 = 16.3 L * 19.3516
V2 = 315.7 L
Therefore, 77.6 mol of CO will occupy 315.7 L at the same temperature and pressure.