Answer to Question #168062 in General Chemistry for Sophia

Question

A 15 L container is filled with helium and the pressure is 154 atm and the temperature is 311 K. What volume can be filled in liters when the temperature is 25° C and the atmospheric pressure is 759 torr?

Answer 1

atm = torr / 760

T_(K) = T_(°C) + 273.15

P₁ = 154 atm

V₁ = 15 L

T₁ = 311 K

P₂ = 759 torr = 0.9987 atm

V₂ = unknown

T₂ = 25°C = 298 K

 

Solution:

The Combined Gas Law:

P₁V₁/T₁ = P₂V₂/T₂

Cross-multiply to clear the fractions:

P₁V₁T₂ = P₂V₂T₁

Divide to isolate V₂:

V₂ = (P₁V₁T₂) / (P₂T₁)

Plug in the numbers and solve for V₂:

V₂ = (154 atm × 15 L × 298 K) / (0.9987 atm × 311 K) = 2216.3 L

V₂ = 2216.3 L

Answer: The volume is 2216.3 liters.