Question

A sample of nitrogen gas kept in a container of volume 2.88 L and at a temperature of 80.∘C exerts a pressure of 5.90 atm. Calculate the number of moles of gas present. Round yout answer to 3 significant digits. Note: Reference the Fundamental constants tabie for additional information.

Answer 1

To calculate the number of moles of gas present, we can use the ideal gas law equation PV = nRT. Given the pressure, volume, temperature and ideal gas constant, we can rearrange the equation to solve for n, which represents the number of moles of gas. Substituting the given values, we find that there are approximately 0.437 moles of gas present.

Step-by-step explanation:

To calculate the number of moles of gas present, we can use the ideal gas law equation:

PV = nRT

Where:

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

Plugging in the given values:

• P = 5.90 atm
• V = 2.88 L
• R = 0.0821 L.atm.mol-1K-1
• T = 80 + 273 = 353 K

We can rearrange the equation to solve for n:

n = PV / RT

Substituting in the values, we get:

n = (5.90 atm)(2.88 L) / (0.0821 L.atm.mol-1K-1)(353 K) = 0.437 mol

Therefore, there are approximately 0.437 moles of gas present.