Final answer:
The problem requires the application of the ideal gas law to compute the mass of Venusian atmosphere and the use of kinetic molecular theory to determine average and most probable speeds of gas molecules on Venus. The calculations involve known values of volume, pressure, temperature, molar mass, and constant R.
Step-by-step explanation:
To answer this student's question about the Venusian atmosphere, we'll apply principles of the ideal gas law and kinetic molecular theory. Given the mass of 2 liters of Venusian atmosphere, the ideal gas law is used:
PV = nRT
Where:
P = pressure (93 atm = 93 x 101325 Pa)
V = volume (2 L = 2 x 10-3 m3)
n = number of moles
R = ideal gas constant (8.314 J/(mol·K))
T = temperature (740 K)
Solving for n, we can find the mass (m) by multiplying n by molar mass (M = 44 g/mol).
The average speed of a gas molecule (vrms) can be found using:
vrms = sqrt(3RT/M)
Converting the molar mass to kg (M = 0.044 kg/mol) for SI units.
The most probable speed (vp) is given by:
vp = sqrt(2RT/M)
Again, using SI units with the molar mass.
Following these calculations will give the mass, average speed, and most probable speed of the gas molecules on the Venusian surface.