Answer:
The final volume of the cylinder is 1.67 L
Explanation:
Step 1: Data given
Initial volume = 0.250 L
external pressure = 2.00 atm
Expansion does 288 J of work on the surroundings
Step 2: Definition of reversible work:
Wrev = -P(V2-V1) = -288 J
The gas did work, so V2>V1 (volume expands) and the work has a negative sign.(Wrev<0)
V2 = (-Wrev/P) + V1
⇒ with Wrev = reverse work (in J)
⇒ with P = the external pressure (in atm)
⇒ with V1 = the initial volume
We can see that your pressure is in atm and energy in J
To convert from J to L * atm we should use a convenient conversion unit using the universal gas constants :
R
=
8.314472 J/mol
*K and R= 0.08206 L*atm/K*mol
V2 =- (-288 J * (0.08206 L*atm/K*mol /8.314 J/mol
*K))/2.00 atm + 0.250L
V2 = 1.67 L
The final volume of the cylinder is 1.67 L
