Answer:
V₂ = 72.2 mL
Step-by-step explanation:
Given data:
Initial volume = 146.0 mL
Initial pressure = 1.30 atm
Initial temperature = 5.00 °C (5.00 +273 = 278 K)
Final temperature = 2.00 °C ( 2.00+273 = 275 K)
Final volume = ?
Final pressure = 2.60 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:
P₁V₁/T₁ = P₂V₂/T₂
V₂ = P₁V₁T₂ /T₁P₂
V₂ = 1.30 atm × 146.0 mL × 275 K / 278K × 2.60 atm
V₂ = 52195 atm .mL. K / 722.8 K.atm
V₂ = 72.2 mL