Answer to Question #132455 in General Chemistry for martha

Question

you purchase a propane tank that can hold gas safely up to a pressure of 37.7 atm. when the tank contains 100 g of propane at 25.6 degree celcius ,the gas exerts a pressure of 14.3 atm. what is the highest temperature in kelvin to which the propane can be heated safely?

Answer 1

QUESTION # 132455

you purchase a propane tank that can hold gas safely up to a pressure of 37.7 atm. when the tank contains 100 g of propane at 25.6 degree celcius, the gas exerts a pressure of 14.3 atm. what is the highest temperature in kelvin to which the propane can be heated safely?

ANSWER

Density of propane = 0.493g/cm³

volume of 100g propane = 100g÷0.493g/cm³

                                             = 202.84cm³

T₁ (Initial temperature) = 25.6℃+273 =298.6K

(P₁V₁)/ T₁ = (P₂V₂)/ T₂

(14.3atm×202.84cm³) / 298.6K = (37.7atm× 202.84cm³) / T₂

     T₂ = (298.6 K × 37.7atm × 202.84cm³) / (14.3atm × 202.84cm³)

        = 787.218K