Question

How many moles of air are in a hot- air balloon with a volume of 2200m ^ 3 at a temperature of 388 K and a pressure of 100 kPa?

Answer 1

Number of moles, n = 68.20 moles

Step-by-step explanation:

Given the following data;

• Volume, V = 2200 m³
• Temperature, T = 388 K
• Pressure, P = 100 kPa
• Ideal gas constant, R = 8.314 J/mol·K or 0.08206 L·atm·mol−1·K−1

To find the number of moles, we would use the ideal gas law equation;

PV = nRT

Where;

• P is the pressure.
• V is the volume.
• n is the number of moles of substance.
• R is the ideal gas constant.
• T is the temperature.

Making n the subject of formula, we have;

`n = \frac {PV}{RT}`

Substituting into the formula, we have;

`n = \frac {100 * 2200}{8.314 * 388}`

`n = \frac {220000}{3225.832}`

Number of moles, n = 68.20 moles