Soru
A balloon is filled with helium at sea level. The volume was measured to be 3.1 liters at a pressure of 0.97 atmosphere. If the balloon is released ,it drifts upward. At a height of 4 kilometers, the pressure is measured to be 0.61 atmospheres. What is the volume of the balloon? square
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Cevap
To solve this problem, we can use the ideal gas law in the form of Boyle's Law, which states that for a given amount of gas at constant temperature, the pressure and volume are inversely proportional. Mathematically, this is expressed as:
where:-
is the initial pressure,-
is the initial volume,-
is the final pressure,-
is the final volume.Given:-
atm,-
liters,-
atm.We need to find
.Using Boyle's Law:
Solving for
:
Therefore, the volume of the balloon at a height of 4 kilometers is approximately 4.93 liters.