Question

Enough nitrogen must be generated in the bag to create a total pressure of 2.56 atm, which then drops as the bag slowly deflates. Assuming the volume of the bag is 56.0 L and the temperature in the car is 25oC, calculate the molar quantity (number of moles) of N2 that must be generated.

Hint: Use Ideal gas law PV=nRT (Ideal gas constant R=0.080 L.atm/mol.K)

Answer 1

The number of moles is 6.01 moles.

Step-by-step explanation:

An ideal gas is a theoretical gas that is considered to be composed of point particles that move randomly and do not interact with each other. Gases in general are ideal when they are at high temperatures and low pressures.

The pressure, P, the temperature, T, and the volume, V, of an ideal gas, are related by a simple formula called the ideal gas law:

P*V = n*R*T

where P is the gas pressure, V is the volume that occupies, T is its temperature, R is the ideal gas constant, and n is the number of moles of the gas. The universal constant of ideal gases R has the same value for all gaseous substances.

In this case:

• P= 2.56 atm
• V= 56 L
• n= ?
• R= 0.080
  `(atm*L)/(mol*K)`
• T= 25 C= 298 K (being 0 C= 273 K)

Replacing:

2.56 atm* 56 L= n* 0.080
`(atm*L)/(mol*K)`* 298 K

Solving:

`n=(2.56 atm*56 L)/(0.080(atm*L)/(mol*K)*298 K)`

n= 6.01 mol

The number of moles is 6.01 moles.