Question

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?

Answer 1

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?

Answer 2

V₂ = 0.6 V.

Step-by-step explanation:

• We can use the general law of ideal gas: PV = nRT.

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:

(P₁V₁T₂) = (P₂V₂T₁).

V₁ = V, P₁ = P, T₁ = T.

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

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