Respuesta :
Answer:
The new volume of the balloon when the pressure equalised with the pressure of the atmosphere = 494 L.
The balloon expands by am additional 475 L.
Explanation:
Assuming Helium behaves like an ideal gas and temperature is constant.
According to Boyle's law for ideal gases, at constant temperature,
P₁V₁ = P₂V₂
P₁ = 26 atm
V₁ = 19.0 L
P₂ = 1 atm (the balloon is said to expand till the pressure matches the pressure of the atmpsphere; and the pressure of the atmosphere is 1 atm)
V₂ = ?
P₁V₁ = P₂V₂
(26 × 19) = 1 × V₂
V₂ = 494 L (it is assumed the balloon never bursts)
The new volume of the balloon when the pressure equalised with the pressure of the atmosphere = 494 L.
The balloon expands by am additional 475 L.
Hope this Helps!!!
The volume of the balloon when this happens will be 494L
In order to get the volume that would eventually equalize causing the balloon to stop inflating, we will use Boyle's law expressed as;
[tex]P_1V_1=P_2V_2[/tex]
Given the following parameters
P₁ = 26.0atm
V₁ = 19.0L
P₂ = 1.0atm
Required
Final volume V₂
Substitute the given values into the formula;
[tex]V_2=\frac{P_1V_1}{P_2}\\V_2=\frac{26 \times 19}{1} \\V_2 =494L[/tex]
Hence the volume of the balloon when this happens will be 494L
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