Question

A mylar balloon with a volume of 7.5 liters at 22°C is placed in a cooler containing frozen carbon dioxide (dry ice) at -78°C. What will be the volume of the balloon when it has cooled to -78°C?

Answer 1

According to Charles's Law, the volume of a gas is directly proportional to its temperature, assuming the pressure remains constant. Using the formula V1 / T1 = V2 / T2, we can calculate that the final volume of the balloon at -78°C will be approximately 4.98 liters.

Step-by-step explanation:

The volume of a gas is directly proportional to its temperature, assuming the pressure remains constant. This is described by Charles's Law. We can use Charles's Law to solve the problem.

Let's use the following formula:

V1 / T1 = V2 / T2

where:

• V1 is the initial volume of the balloon (7.5 liters)
• T1 is the initial temperature of the balloon (22°C + 273.15 = 295.15 K)
• V2 is the final volume of the balloon (unknown)
• T2 is the final temperature of the balloon (-78°C + 273.15 = 195.15 K)

Plugging in the values, we get:

7.5 / 295.15 = V2 / 195.15

Solving for V2, we find that the final volume of the balloon at -78°C is approximately 4.98 liters.