Answer : The volume at standard temperature and pressure conditions is, 222 mL
Explanation :
Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.
The combined gas equation is,
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = 740 mmHg
[tex]P_2[/tex] = final pressure of gas = 760 mmHg
[tex]V_1[/tex] = initial volume of gas = 250 mL
[tex]V_2[/tex] = final volume of gas = ?
[tex]T_1[/tex] = initial temperature of gas = [tex]27^oC=273+27=300K[/tex]
[tex]T_2[/tex] = final temperature of gas = [tex]0^oC=273+0=273K[/tex]
Now put all the given values in the above equation, we get:
[tex]\frac{740mmHg\times 250mL}{300K}=\frac{760mmHg\times V_2}{273K}[/tex]
[tex]V_2=221.5\approx 222mL[/tex]
Therefore, the volume at standard temperature and pressure conditions is, 222 mL