The final volume is 56. 47 m^3
Work done is -2,058. 75 Joules
The final temperature in the balloon is 30° C
Using the formula:
P1V1/T1 = P2V2/T2
Where P1 and P2 = initial and final pressures
V1 and V2 = initial and final volumes
T1 and T2 = initial and final temperature
From the formula, make 'V2' the subject
V2 =P1V1T2/ P2T1
V2 = 100 × 40 × 30 / 125 × 17
V2 = 120000 / 2125
V2 = 56. 47 m^3
The final volume is 56. 47 m^3
How to determine the work done
Using the formula
Work done = - External pressure × change in volume
External pressure is from the valve = 125Kpa
Change in volume = V2 - V1 = 56. 47 - 40 = 16. 47 m^3
Work done = - 125 × 16. 47 = -2,058. 75 Joules
3. The final temperature in the balloon is 30° C
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