Respuesta :
Answer: The volume of balloon at higher altitude is 631.3 L
Explanation:
To calculate the volume when temperature and pressure has changed, we use the equation given by combined gas law. The equation follows:
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1,V_1\text{ and }T_1[/tex] are the initial pressure, volume and temperature of the gas
[tex]P_2,V_2\text{ and }T_2[/tex] are the final pressure, volume and temperature of the gas
We are given:
Conversion factor: 1 atm = 760 mmHg
[tex]P_1=759mmHg=0.99atm\\V_1=50.0L\\T_1=22.3^oC=[273+22.3]K=295.3K\\P_2=0.0701atm\\V_2=?L\\T_2=-9.00^oC=[273-9]=264K[/tex]
Putting values in above equation, we get:
[tex]\frac{0.99atm\times 50.0L}{295.3K}=\frac{0.0701atm\times V_2}{264K}\\\\V_2=\frac{0.99\times 50.0\times 264}{0.0701\times 295.3}=631.3L[/tex]
Hence, the volume of balloon at higher altitude is 631.3 L
