A balloon of hydrogen is subjected to vacuum. The initial pressure and volume of hydrogen is 0.95 atm and 0.55 L. Calculate the final pressure if the final volume is 1.22 L? ​

Respuesta :

Answer:

0.43 atm

Explanation:

From the question given above, the following data were obtained:

Initial pressure (P₁) = 0.95 atm

Initial volume (V₁) = 0.55 L

Final volume (V₂) = 1.22 L

Final pressure (P₂) =?

The final pressure of the gas can be obtained by using the Boyle's law equation as follow:

P₁V₁ = P₂V₂

0.95 × 0.55 = P₂ × 1.22

0.5225 = P₂ × 1.22

Divide both side by 1.22

P₂ = 0.5225 / 1.22

P₂ = 0.43 atm

Therefore, the final pressure of the gas is 0.43 atm

The final pressure of the gas is 0.43 atm.

What is pressure?

Pressure is the process of force exerted perpendicular to any surface.

Given, the Initial pressure (P₁) is 0.95 atm

The initial volume (V₁) is 0.55 L

The final volume (V₂) is 1.22 L

To find the final pressure (P₂)

By the Boyle's Law

[tex]\rm P_1V_2= P_2V_2[/tex]

[tex]\rm 0.95\times 0.55 = P_2\times1.22\\\\0.5225 = P_2 \times 1.22\\\\Divided\;both \;side\;by\;1.22\\\\P_2=\dfrac{0.5225}{1.22} = 0.43 atm.[/tex]

Thus, the final pressure of the gas is 0.43 atm.

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