# Variables
import math
d = 8. #in
ir = 16. #in
MW = 28.97
T = 70.+460 #R
P = 30+14.7 #psia
# Calculations
V = math.pi**2 *d**2 *(d+ir)/4
V = V*10./12**3
Rair = 1545/MW
m = P*144*V/(Rair*T)
# Results
print "Mass of air = %.2f lbm"%(m)
# Variables
V = 4. #in**3
P = 30. #psia
T = 500. #R
MW = 32.
# Calculations
print ("Metric unit conversion,")
V = V*2.54**3 *10**-3
P = 30*4.448/(2.54**2 *10**-4)
T = 5*(T-32)/9 +273
n = P*V/(8314.5*T)
eta = n*1000
N = eta*6.025*10**23
m = eta*MW
# Results
print "No. of molecules of oxygen = %.3e molecules"%(N)
print " Mass of molecules = %.1f g"%(m)
#The answer in the textbook is a bit different due to rounding off error
# Variables
import math
P = 14.7 #psia
T = 70.+460 #R
M = 32.
# Calculations
Ro = 1545/M
V2 = 3*Ro*T
V2 = V2*32.174
vrms = math.sqrt(V2)
# Results
print "rms velocity = %d ft/sec"%(vrms)