Answer : The volume of oxygen occupy at 173° would be, 703.2 mL
Explanation :
Charles' Law : It states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.
Mathematically,
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where,
[tex]V_1\text{ and }T_1[/tex] are the initial volume and temperature of the gas.
[tex]V_2\text{ and }T_2[/tex] are the final volume and temperature of the gas.
We are given:
[tex]V_1=473mL\\T_1=27^oC=(27+273)K=300K\\V_2=?\\T_2=173^oC=(173+273)K=446K[/tex]
Now put all the given values in above equation, we get:
[tex]\frac{473mL}{300K}=\frac{V_2}{446K}\\\\V_2=703.2mL[/tex]
Therefore, the volume of oxygen occupy at 173° would be, 703.2 mL