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A 75.1 L sample of gas at 33.2 ºC and 365.7 mm Hg expands to 242.9 L at 6.5 ºC. What is the new gas pressure?

Sagot :

CrystalQueen

Answer:

103 mmHg

Explanation:

To find the new pressure, you need to use the Combined Gas Law:

P₁V₁ / T₁ = P₂V₂ / T₂

In this equation, "P₁", "V₁", and "T₁" represent the initial pressure, volume, and temperature. "P₂", "V₂", and "T₂" represent the final pressure, volume, and temperature. You can find the new pressure (P₂) after converting the temperatures from Celsius to Kelvin.

P₁ = 365.7 mmHg                                        P₂ = ? mmHg

V₁ = 75.1 L                                                    V₂ = 242.9 L

T₁ = 33.2 °C + 273.15 = 306.35 K              T₂ = 6.5 °C + 273.15 = 279.65 K

P₁V₁ / T₁ = P₂V₂ / T₂                                           <----- Combined Gas Law

(365.7 mmHg)(75.1 L) / 306.35 K = P₂(242.9 L) / 279.65 K    <----- Insert values

89.649 = P₂(242.9 L) / 279.65 K                     <----- Simplify left side

25070.433 = P₂(242.9 L)                                 <----- Multiply both sides by 279.65

103 = P₂                                                            <----- Divide both sides by 242.9

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