An open flask sitting in a lab fridge looks empty, but it is actually filled with a mixture of gases called air. If the flask volume is 2.50 L, and the air is at standard temperature and pressure, how many gaseous molecules does the flask contain?

Respuesta :

Answer: [tex]0.67\times 10^{23}[/tex]  molecules are contained in the flask.

Explanation:

According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.

Standard condition of temperature (STP) is 273 K and atmospheric pressure is 1 atm respectively.

According to the ideal gas equation:'

[tex]PV=nRT[/tex]

P= Pressure of the gas = 1 atm

V= Volume of the gas = 2.50 L

T= Temperature of the gas = 273 K

R= Value of gas constant = 0.0821 Latm/K mol

[tex]n=\frac{PV}{RT}=\frac{1\times 2.50L}{0.0821 \times 273}=0.11moles[/tex]

1 mole of gas contains=[tex]6.022\times 10^{23}[/tex]  molecules  

0.11 moles of gas contains=[tex]\frac{6.022\times 10^{23}}{1}\times 0.11=0.67\times 10^{23}[/tex]  molecules

[tex]0.67\times 10^{23}[/tex]  molecules are contained in the flask.