Answer : The final volume of oxygen gas will be, 1.292 ml
Explanation :
Charles' Law : It is defined as the volume of gas is directly proportional to the temperature of the gas at constant pressure and number of moles.
[tex]V\propto T[/tex]
or,
[tex]\frac{V_1}{V_2}=\frac{T_1}{T_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of oxygen gas = 1.75 ml
[tex]V_2[/tex] = final volume of oxygen gas = ?
[tex]T_1[/tex] = initial temperature of gas = [tex]97.8^oC=273+97.8=370.8K[/tex]
[tex]T_2[/tex] = final temperature of gas = [tex]0.7^oC=273+0.7=273.7K[/tex]
Now put all the given values in the above formula, we get the final volume of the oxygen gas.
[tex]\frac{1.75ml}{V_2}=\frac{370.8K}{273.7K}[/tex]
[tex]V_2=1.292ml[/tex]
Therefore, the final volume of oxygen gas will be, 1.292 ml