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Mariulka [41]
3 years ago
6

Consider a balloon with volume V. It contains n moles of gas and has an internal pressure of P. The temperature of the gas is T.

The balloon is placed in a freezer at temperature 0.75T. The freezer is pressurized at 1.25P. Which of these could be the final volume of the balloon?

Chemistry
2 answers:
Bumek [7]3 years ago
5 0

Answer:

Explanation:Consider a balloon with volume V. It contains n moles of gas and has an internal pressure of P. The temperature of the gas is T. The balloon is placed in a freezer at temperature 0.75T. The freezer is pressurized at 1.25P. Which of these could be the final volume of the balloon?

Maksim231197 [3]3 years ago
3 0

Answer:

V₂ = 0.6 V.

Explanation:

  • We can use the general law of ideal gas: <em>PV = nRT.</em>

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R is the general gas constant,

T is the temperature of the gas in K.

  • If n is constant, and have different values of P, V and T:

<em>(P₁V₁T₂) = (P₂V₂T₁).</em>

<em></em>

V₁ = V, P₁ = P, T₁ = T.

V₂ = ??? V, ​P₂ = 1.25 P, T₂ = 0.75 T.

<em>∴ V₂ = (P₁V₁T₂)/(P₂T₁) =</em> (P)(V)(0.75 T)/(1.25 P)(T)<em> = 0.6 V.</em>

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