Question

In an airplane flying from San

Diego to Boston has a pressure of
751 mmHg at 35°C and a volume
of 5.544x10³ L. How many mole
of air are in the plane?

Answer 1

To calculate the number of moles of air in the plane, we can use the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperature from Celsius to Kelvin:

T = 35°C + 273.15 = 308.15 K

Next, we can substitute the given values into the ideal gas law:

n = PV/RT

n = (751 mmHg) x (5.544x10³ L) / [(0.082 L·atm/mol·K) x (308.15 K)]

n = 148.6 mol

Therefore, there are approximately 148.6 moles of air in the plane.