Question

A researcher suspects that the pressure gauge on a 54.3-L gas cylinder containing nitric oxide is broken. An empty gas cylinder weighs 90.0 lb. The weight of the partially full cylinder is 116.5 lb. This cylinder is located in a relatively chilly service hallway at 287 K. Follow the steps below to use the compressibility charts to estimate the pressure of the gas and the reading that the pressure gauge should have. How many moles of nitric oxide, NO, are in the cylinder?

Answer 1

Answer:

Number of moles nitric acid in the cylinder is 400.539g/mol.

Explanation:

From the given,

Weight of empty gas cylinder $W_{1}= 90.0 lb= 40823.3 grams

Weight of full cylinder[tex]W_{2} = 116.5 lb= 52843.511 grams

The critical temperature = 287 K

The critical pressure 54.3 L

Molar mass of nitric acid = [tex]M_{NO}$ = 30.01 g/mol

Number of moles nitric acid = $n_{NO}$ =?

The mass of nitric acid in the cylinder = $W_{NO}=W_{2}-W_{1}$

$=52843.511-40823.3 =12,020.2g$

Number of moles of nitric acid =

$\frac{Given\,mass}{Molar\,mass}=\frac{12,020.2}{30}=400.539g/mol$

Therefore, number of moles nitric acid in the cylinder is 400.539g/mol.