38.9k views
3 votes
How many moles of nitrogen gas are present in a 28.9 dm3 temperature of 55.0 °C and a pressure of 144 kPa?

1 Answer

1 vote

Given :

Temperature, T = 55° C = ( 55 + 273 ) K = 328 K .

Volume of container, V = 28.9 dm³ = 0.0289 m³ .

Pressure, P = 144 kPa = 144000 Pa .

To Find :

Number of moles of nitrogen gas.

Solution :

We know, by ideal gas equation :

PV = nRT ( R ( universal gas constant ) = 8.31 J K⁻¹ mol⁻¹ .


n = (PV)/(RT)\\\\n = (144000* 0.0289)/(8.31 * 328) \ moles\\\\n = (4161.6)/(2725.68)\\\\n = 1.53 \ moles

Therefore, number of moles of nitrogen gas is 1.53 moles.

User DynasticSponge
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.