An arctic weather balloon is filled with 13.2 L of helium gas inside a prep shed. The temperature
inside the shed is 13. °C. The balloon is then taken outside, where the temperature is -8. °C.
Calculate the new volume of the balloon. You may assume the pressure on the balloon stays
constant at exactly 1 atm. Round your answer to 3 significant digits. ?? EP
Solution
as we know that
P 1 V 1 / T 1 = P 2 V 2 / T 2
from the given data pressure is constant of 1 atm
So we will have
V 1 /T 1 = V 2 /T 2
V 1 = 13.2 L
T 1 = 13 o
C or 286 K
V 2 = ?
T 2 = -8 o
C or 265 K
V 2 = V 1 / T 1 T 2
= 13.2 / 286 * 265
= 1.741* 10 -4
L