Calculate the total pressure at 8.0km , assuming a mean molecular mass of 28.9 g mol−1 and that T = 300. K throughout this altitude range.
To calculate the total pressure at a specific altitude, we can use the barometric equation, which relates the pressure at a certain altitude to the pressure at sea level. The barometric equation is given by:
P = P₀ * exp(((-g*m) / (R*T))*(h₁-h₀))
Where:
P is the pressure at the altitude you're interested in,
P₀ is the pressure at sea level,
g is the acceleration due to gravity (approximately 9.8 m/s²),
m is the mean molecular mass of the air (given as 28.9 g/mol),
R is the specific gas constant (approximately 8.314 J/(mol*K)),
T is the temperature (given as 300 K),
h₁ is the altitude you want to calculate the pressure for, and
h₀ is the reference altitude (typically sea level).
Given that you have the mean molecular mass (m = 28.9 g/mol) and the temperature (T = 300 K), we need to know the pressure at sea level (P₀) to calculate the pressure at 8.0 km. Without that information, we cannot provide you with the exact answer.