A helium-filled weather balloon has a volume of 686 L at 22.9°C and 751 mmHg. It is released and rises to an altitude of 7.30 km, where the pressure is 356 mmHg and the temperature is –25.1°C. The volume of the balloon at this altitude is
A helium-filled weather balloon has a volume of 686 L at 22.9°C and 751 mmHg. It is released and rises to an altitude of 7.30 km, where the pressure is 356 mmHg and the temperature is –25.1°C.
The volume of the balloon at this altitude is
For two different states of an ideal gas with a constant number of moles, the combined gas law depicts:
where:
P1 and P2 are initial and final pressure respectively.
V1 and V2 are initial and final volumes respectively.
T1 and T2 are the initial and final temperatures (in the Kelvin scale) respectively.
According to the given problem, the following values are given:
P1 = 751 mmHg
P2 = 356 mmHg
T1 = (273+22.9) K = 295.9 K
T2 = (273-25.1) K = 247.9 K
V1 = 686 L
Susbtituting the above values, we get:
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