Answer:
When the pressure changes from 1417 psi to 160.186 psi the volume changes from 0.145 L to 0.878 l and the temperature changes from 287 k to 196 k
Step-by-step explanation:
According to general gas equation:
P₁V₁/T₁ = P₂V₂/T₂
Given data:
Initial volume = 0.145 L
Initial pressure = 1417 psi (1417/14.696 =96.42 atm)
Initial temperature = 287 K
Final temperature = 196 K
Final volume = 0.878 L
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 = 96.42 atm × 0.145 L × 196 K / 287 K × 0.878 L
P₂ = 2740.26 atm .L. K / 251.99 k. L
P₂ = 10.9 atm
atm to psi:
10.9 × 14.696 = 160.186 psi