A balloon now occupies 9.7L at 25.0°C and 1.00 atm. What temperature was it initially, if it occupied 9.0 L and was in a freezer with a pressure of 0.92 atm?

Question

Hadley Brown

Chemistry

6 July, 05:52

A balloon now occupies 9.7L at 25.0°C and 1.00 atm. What temperature was it initially, if it occupied 9.0 L and was in a freezer with a pressure of 0.92 atm?

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Answers (1)

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Alexis Miller · Answer 1

-19°C (2 sig. figs.)

Explanation:

P₁V₁/T₁ = P₂V₂/T₂

P₁ = 1.00atm

V₁ = 9.7L

T₁ = 25°C = 298K

P₂ = 0.92atm

V₂ = 9L

T₂ = ?

T₂ = T₁P₂V₂/P₁V₁

= 298K (0.92atm/1.00atm) (9.0L/9.7L) = 254K = (254 - 273) °C = - 19°C (2 sig. figs.)