Answer:
The new volume is 63583 L
Explanation:
Step 1: Data given
The initial volume of the balloon = 5.37 * 10^4 L
The initial pressure = 0.995 atm
The initial temperature = 32.0 °C = 305.15 K
The pressure decreased to 0.720 atm
The temperature decreased to -11.7 °C = 261.45 K
Step 2: Calculate the new volume
P1*V1 / T1 = P2*V2/T2
⇒with P1 = the initial pressure = 0.995 atm
⇒with V1 = the initial volume = 5.37 *10^4 L
⇒with T1 = the initial temperature = 305.15 K
⇒with P2 = the decreased pressure = 0.720 atm
⇒with V2 = the new volume = TO BE DETERMINED
⇒with T2 = the decreased temperature : 261.45 K
(0.995 * 5.37*10^4)/305.15 = (0.720 * V2) / 261.45
V2 = 63583 L
The new volume is 63583 L