Answer:
The new volume of the balloon is 46.1 L
Explanation:
Step 1: Data given
Initial volume of the balloon = 27.3 L
Initial pressure in the balloon = 738 mmHg = 0.97105 atm
Initial temperature in the balloon = 26.9 °C = 300.05 K
The pressure decreases to 375 mmHg = 0.493421 atm
The temperature lowers to -15.6 °C = 257.55 K
Step 2: Calculate the volume
P1*V1 / T1 = P2 *V2 / T2
⇒with P1 = the Initial pressure = 738 mmHg = 0.97105 atm
⇒with V1 = Initial volume of the balloon = 27.3 L
⇒with T1 = Initial temperature in the balloon = 26.9 °C = 300.05 K
⇒with P2 = the decreased pressure = 0.493421 atm
⇒with V2 = the new volume = TO BE DETERMINED
⇒with T2 = the lowered temperature = 257.55 K
0.97105 * 27.3 / 300.05 = 0.493421*V2 / 257.55
V2 = 46.1 L
The new volume of the balloon is 46.1 L
