High School

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A gas is contained in a thick-walled balloon. When the pressure changes from 39.1 bar to 87.0 bar, the volume changes from ______ L to 0.492 L and the temperature changes from 643 K to 525 K.

Answer :

Answer: -

1.34 L

Explanation: -

Initial Pressure P 1 = 39.1 bar

Initial Temperature T 1 = 643 K

Let the initial volume be V 1.

Final pressure P 2 = 87.0 bar

Final temperature T 2 = 525 K.

Final volume V 2 = 0.492 L

Using the equation

[tex] \frac{P1 V 1}{T1} = \frac{P 2 V 2}{T2} [/tex]

[tex] V 1 = \frac{P2 V2 T1}{P 1 T2} [/tex]

Plugging in the values

We have

V 1 = 87 bar x 0.492 L x 643 K / (39.1 bar x 525 K)

= 1.34 L

Thus, a gas is contained in a thick-walled balloon. When the pressure changes from 39.1 bar to 87.0 bar the volume changes from 1.34 L to 0.492L and the temperature changes from 643K to 525K

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Rewritten by : Barada

P₁ = 39.1 bar

V₁ = ?

T₁ = 643 K

P₂ = 87.0 bar

V₂ = 0.492 L

T₂ = 515 K

P₂ = ?


P₁V₁/T₁ = P₂V₂/T₂

V₁ = P₂V₂T₁/P₁T₂ = (87.0)(0.492)(643) / (39.1)(515) = 1.37 L