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25 August, 10:39

A 1.2 L weather balloon on the

ground has a temperature of 25°C

and is at atmospheric pressure (1.0

atm). When it rises to an elevation

where the pressure is 0.74 atm,

then the new volume is 1.8 L. What

is the temperature (in °C) of the air

at this elevation?

+2
Answers (1)
  1. 25 August, 12:10
    0
    330.95K

    Explanation:

    V₁ = 1.2L

    T₁ = 25°C = (25 + 273.15) K = 298.15K

    P₁ = 1.0 atm

    P₂ = 0.74 atm

    V₂ = 1.8L

    T₂ = ?

    From combined gas equation,

    (P₁ * V₁) / T₁ = (P₂ * V₂) / T₂

    Solve for T₂

    T₂ = (P₂ * V₂ * T₁) / (P₁ * V₁)

    T₂ = (0.74 * 1.8 * 298.15) / (1.0 * 1.2)

    T₂ = 397.1358 / 1.2

    T₂ = 330.9465K

    T₂ = 330.95K or T₂ = (330.95 - 273.15) °C = 57.8°C
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