Question

A weather balloon is inflated to a volume of 26.9 L at a pressure of 741 mmHg and a temperature of 24.0 °C. The balloon rises in the atmosphere to an altitude where the pressure is 400 mmHg and the temperature is -15.3 °C. Assuming the balloon can freely expand, calculate the volume of the balloon at this altitude.

Answer 1

The volume of the balloon at the higher altitude is 15.1 L.

Step-by-step explanation:

To find the volume of the balloon at the higher altitude, we can use the combined gas law equation:
P1V1/T1 = P2V2/T2

Where P is the pressure, V is the volume, and T is the temperature.

Using the given values, we can plug them into the equation and solve for V2:

(741 mmHg)(26.9 L)/(24.0 °C) = (400 mmHg)(V2)/(-15.3 °C)

Simplifying the equation gives us:

(741 mmHg)(26.9 L)(-15.3 °C) = (400 mmHg)(V2)(24.0 °C)

Solving for V2, we find that the volume of the balloon at the higher altitude is 15.1 L.