Answer:The number of moles will remain the same in the two cases
so we can equate using ideal gas equation which is PV =nRT
V2 = 3100 L
Explanation:
Answer: E. 3100 liters
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 = 150 atm
[tex]P_2[/tex] = final pressure of gas = 1 atm
[tex]V_1[/tex] = initial volume of gas = 20 L
[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]37^oC=273+37=310K[/tex]
Now put all the given values in the above equation, we get the final pressure of gas.
[tex]\frac{150atm\times 20L}{300K}=\frac{1atm\times V_2}{310K}[/tex]
[tex]V_2=3100L[/tex]
Therefore, the volume of the baloon is 3100 L.
