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.