Answer: 2232 torr
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 = 750 torr
[tex]P_2[/tex] = final pressure of gas = ?
[tex]V_1[/tex] = initial volume of gas = 36.0 L
[tex]V_2[/tex] = final volume of gas = 15.0 L
[tex]T_1[/tex] = initial temperature of gas = [tex]10^oC=273+10=283K[/tex]
[tex]T_2[/tex] = final temperature of gas = [tex]78^oC=273+78=351K[/tex]
Now put all the given values in the above equation, we get:
[tex]\frac{750\times 36}{283}=\frac{P_2\times 15.0}{351}[/tex]
[tex]P_2=2232torr[/tex]
The pressure will be 2232 torr if the volume changes to 15.0 L and the temperature changes to 78 °C, if the amount of gas stays the same.
