Respuesta :

Explanation:

The given data is as follows.

        Mass of [tex]O_{2}[/tex] = 1.15 g

        Mass of [tex]N_{2}[/tex] = 1.55 g

Therefore, moles of oxygen present will be as follows.

             No. of moles of [tex]O_{2}[/tex] = [tex]\frac{mass}{\text{molar mass}}[/tex]

                              = [tex]\frac{1.15 g}{32 g/mol}[/tex]

                              = 0.035 mol

             No. of moles of [tex]N_{2}[/tex] = [tex]\frac{mass}{\text{molar mass}}[/tex]

                              = [tex]\frac{1.55 g}{28.02 g/mol}[/tex]

                              = 0.055 mol

Hence, total no. of moles = moles of [tex]O_{2}[/tex] + moles of [tex]N_{2}[/tex]

                              = (0.035 + 0.055) mol

                              = 0.09 mol

Now, it is known that at STP volume is 22.4 L/mol. Hence, volume of the gas sample at STP for 0.09 moles will be as follows.

                    [tex]0.09 mol \times 22.4 L/mol[/tex]

                      = 2.01 L

Thus, we can conclude that volume of the given gas sample is 2.01 L.