calculate the work performed if a balloon contracts from11.75 L to 806 mL due to an external pressure of 3.9 atm.
w = p*delta
w = 3.9*(11.75-0.806) = ? in L*atm. If you want the work in J, multiply by 101.325. Since the volume is decreasing it means the surrounds are doing work on the system (the balloon) so the sign of work is +.
v
To calculate the work performed when a balloon contracts under external pressure, we need to use the formula:
Work (W) = -P * ΔV
Where:
- W is the work performed.
- P is the external pressure.
- ΔV is the change in volume.
Let's break down the given information:
Initial volume (V1) = 11.75 L
Final volume (V2) = 806 mL = 0.806 L
External pressure (P) = 3.9 atm
Now, we need to calculate the change in volume (ΔV):
ΔV = V2 - V1
= 0.806 L - 11.75 L
= -10.944 L (since the balloon is contracting)
Now, we can substitute the values into the formula:
W = -P * ΔV
= -3.9 atm * (-10.944 L)
= 42.7056 L.atm
The unit of work in this case is liter-atmosphere (L.atm).