The density of CO₂ gas on the surface of Venus under those conditions, which are not actually typical but are still plausible, is approximately 0.598 kg/m³.
The density of CO₂ gas on the surface of Venus under those conditions, which are not actually typical but are still plausible, is approximately 0.598 kg/m³. This is significantly higher than the density of CO₂ gas at Earth's surface, which is around 1.98 kg/m³.
Here's how we can calculate the density:
Convert the temperature to Kelvin: 500°C + 273.15 = 773.15 K
Use the ideal gas law:
Density (ρ) = Pressure (P) / (Molar mass (M) * Boltzmann constant (k) * Temperature (T))
Where:
P = 87.4 atm (converted to Pascals: 87.4 atm * 101325 Pa/atm = 8.8634 x
Pa)
M = 44.01 g/mol (molar mass of CO₂)
k = 8.314 J/mol·K (Boltzmann constant)
T = 773.15 K
Solve for density: ρ ≈ 0.598 kg/m³
It's important to note that these conditions are not entirely representative of the typical Venusian surface. The average temperature on Venus is closer to 467°C (740 K), and the pressure is around 93 bar (92 times Earth's atmospheric pressure). However, the calculated density still illustrates the significant difference in CO₂ density between Venus and Earth, and how the dense Venusian atmosphere contributes to its extreme greenhouse effect.