Respuesta :
The balloon will reach its maximum volume and it will burst.
Given:
- A weather balloon at sea level, with gas at 65.0 L volume, 745 Torr pressure, and 25C temperature.
- When the balloon was taken to an altitude at which temperature was 25C and pressure was 0.066atm its volume expanded.
- The maximum volume of the weather balloon is 835 L.
To find:
Whether the weather balloon will reach its maximum volume or not.
Solution:
The pressure of the gas in the weather balloon at sea level = [tex]P_1=745 torr[/tex]
[tex]1 atm = 760 torr\\P_1=745 torr=\frac{745}{760} torr = 0.980 atm[/tex]
The volume of the weather balloon at sea level = [tex]V_1=65.0L[/tex]
The temperature of the gas in the weather balloon at sea level:
[tex]T_1=25^oC=25+273.15 K=298.15 K[/tex]
The balloon rises to an altitude.
The pressure of the gas in the weather balloon at the given altitude:
[tex]P_2=0.066atm[/tex]
The volume of the weather balloon at the given altitude = [tex]V_2=?[/tex]
The temperature of the gas in the weather balloon at the given altitude:
[tex]T_1=25^oC=25+273.15 K=298.15 K[/tex]
Using the Combined gas law:
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\\\frac{0.980 atm\times 65.0L}{298.15 K}=\frac{0.066atm\times V_2}{298.15K}\\V_2=\frac{0.980 atm\times 65.0L\times 298.15K}{0.066atm\times 298.15 K}\\=965L[/tex]
The maximum volume of the weather balloon= V = 835 L
[tex]V < V_2[/tex]
The volume of the weather balloon at a given altitude is greater than its maximum volume which means the balloon will reach its maximum volume and it will burst.
Learn more about the combined gas law:
brainly.com/question/13154969?referrer=searchResults
brainly.com/question/936103?referrer=searchResults
