You just use a bit of algebra. Kinetic energy is KE = (1/2) (mass) (speed squared). Multiply each side by (2/mass) and you have 2KE/mass=speed-squared. The square root of both sides then gives you the speed in terms of the kinetic energy.
Volum at the beginning:

Volum at the end:


α for helium =

As the result you get:

Final volume of the balloon is 22,9264 liters.
(Only if it doesn't explode during being heated ;) just a joke)
Explanation:
Given that,
Number of turns in the coil, N = 52
Original are of the coil, 
It is stretched to have no area in 0.100 s, t = 0.1 s
The magnetic field strength, B = 1.2 T
To find,
The magnitude and the direction of average induced emf.
Solution,
The Faraday law gives the magnitude and the direction of induced EMF in the coil. Its formula is given by :




E = 171.6 volts
The direction of induced emf is given by Lenz law. It opposes the direction due to which it is produced. It is in counterclockwise direction.