At 571. mm Hg and 175 K, a gas sample has a volume of 227 mL. What is the final pressure (in mm Hg) at a volume of 563 mL and a temperature of 357 K?

P₂ = 469.7 mmHg

Explanation:

Given dа ta:

Initial volume = 227 mL

Initial pressure = 571 mmHg

Initial temperature = 175 K

Final temperature = 357 K

Final volume = 563 mL

Final pressure = ?

Formula:

P₁V₁/T₁ = P₂V₂/T₂

P₁ = Initial pressure

V₁ = Initial volume

T₁ = Initial temperature

P₂ = Final pressure

V₂ = Final volume

T₂ = Final temperature

Solution:

P₂ = P₁V₁ T₂ / T₁ V₂

P₂ = 571 mmHg * 227 mL * 357 K / 175 K * 563 mL

P₂ = 46273269 mmHg. mL. K / 98525 k. mL

P₂ = 469.7 mmHg