Final answer:
The number of molecules of CO2 in a 5.00L tank at 7.53atm and 485K is approximately 5.58 x 10^22.
The correct answer is none of all.
Step-by-step explanation:
To calculate the number of molecules of CO2 in the 5.00L tank, we need to use the ideal gas law equation: PV = nRT. In this equation, P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. First, we need to convert the pressure from atm to Pa, using the conversion factor 1 atm = 101325 Pa. Next, we convert the volume from L to m3, using the conversion factor 1 L = 0.001 m3. Finally, we solve the equation for n, the number of moles.
P = 7.53 atm x 101325 Pa/atm = 762106.25 Pa
V = 5.00 L x 0.001 m3/L = 0.005 m3
T = 485 K
R = 8.314 J/(mol K)
n = (PV) / (RT) = (762106.25 x 0.005) / (8.314 x 485)
n = 0.09277 mol of CO2
To convert the number of moles to molecules, we use Avogadro's number, which is 6.02 x 1023 mol-1.
Number of molecules = 0.09277 mol x 6.02 x 1023 mol-1 = 5.58 x 1022 molecules of CO2