A balloon is filled with 3.50 L of water at 24°C and 2.27 atm. The balloon in the figure is placed outside on a hot day. What is the volume of the balloon, assuming constant pressure?
1 Answer
The volume of the balloon is 3.51 L.
Explanation:
At first glance, this appears to be an Ideal Gas Law problem.
However, water is a liquid at 24 °C and 2.27 atm.
For argument's sake, let's say that the temperature on a hot summer day is 34 °C.
Water is essentially incompressible, but its thermal expansion may be significant.
The thermal volume coefficient (β) of water is 0.000 207/°C from 20 °C to 30 °C and 0.000 303/°C from 30°C to 40 °C.
At 30 °C,
At 34 °C,
The volume on a hot summer day is 3.51 L.