An open flask sitting in a lab fridge looks empty, but we know that actually it is filled with a mixture of gases called air. If the flask volume is 3.50 L, and the air is at standard temperature and pressure, how many gaseous molecules does the flask contain?

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Answer:

The flask contains [tex]9.4094\times 10^{22} molecules[/tex] of air.

Explanation:

Volume of the air in fridge = 3.50 L

Moles of air in fridge = n

At STP, 1 mole of gas occupies 22.4 L of volume.

Then n moles of gas will occupy:

[tex]n\times 22.4L=3.50 L[/tex]

[tex]n=\frac{3.50 L}{22.4 L}=0.15625 mol[/tex]

[tex]1 mol = 6.022\times 10^{23} [/tex] atoms/molecules

Number molecules of gases in the flask:

[tex]0.15625 \times 6.022\times 10^{23}=9.4094\times 10^{22} molecules[/tex]

The flask contains [tex]9.4094\times 10^{22} molecules[/tex] of air.

At standard temperature and pressure the number of  gaseous molecules in the flask is [tex]\rm \bold { 9.409\times 10^2^2}[/tex].

The volume of the flask = 3.5 L

At STP gas occupy 22.4 L volume.

Number of moles in the flask,

[tex]\rm \bold { n =\frac{3.5}{22.4} }\\\rm \bold { n =0.1562 mol}[/tex]

Since, [tex]\rm \bold{ 1mol = 6.02\times 10^2^3}\\[/tex]

The number of gaseous molecules in the flask will be,

[tex]\rm \bold {\Rightarrow 1.562\times 6.02\times 10^2^3}\\\rm \bold {\Rightarrow 9.409\times 10^2^2}[/tex]

Hence, we can conclude that at standard temperature and pressure the number of  gaseous molecules in the flask is [tex]\rm \bold { 9.409\times 10^2^2}[/tex].

To know more about Mole concept, refer to the link:

https://brainly.com/question/2350371?referrer=searchRe