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A cylinder of Krypton has contains 17 L of Ar at 22.8 atm and 112 degrees celsisus. How many moles are in the cylinder?​

Sagot :

Given :

A cylinder of Krypton has contains 17 L of Ar at 22.8 atm and 112 degrees Celsius.

To Find :

How many moles are in the cylinder.

Solution :

We know, by ideal gas equation :

[tex]PV = nRT\\\\n = \dfrac{PV}{RT}[/tex]

Here, R is gas constant and [tex]R = 8.205 \times 10^{-5} \ m^3\ atm\ K^{-1} mol^{-1}[/tex]

Converting all given in required units and putting in above equation, we get :

[tex]n = \dfrac{P\times V}{ R \times T}\\\\n = \dfrac{22.8 \times 0.017}{8.205\times (112+273)}\ moles\\\\n = 1.22 \times 10^{-4} \ moles[/tex]

Hence, this is the required solution.