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 data:

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