Answer:
V₂ = 37.71 mL
Step-by-step explanation:
Given data:
Initial volume = 85.0 mL
Initial pressure = 1 atm
Initial temperature = 20°C (20 +273 = 293 K)
Final temperature = 91°C (91+273 = 364 K)
Final volume = ?
Final pressure = 2.8 atm
Formula:
P₁V₁/T₁ = P₂V₂/T₂
P₁ = Initial pressure
V₁ = Initial volume
T₁ = Initial temperature
P₂ = Final pressure
V₂ = Final volume
T₂ = Final temperature
Solution:
V₂ = P₁V₁ T₂/ T₁ P₂
V₂ = 1 atm× 85.0 mL × 364 K / 293 K × 2.8 atm
V₂ = 30940 atm.mL.K / 820.4 K.atm
V₂ = 37.71 mL