Is it possible for a balloon with an initial pressure of 200.0 kpa to naturally expand to four times its initial volume when the temperature remains constant and atmospheric pressure is 101.3 kpatial

No, it is not possible.

Explanation:

Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.

    (At constant temperature and number of moles)

where, = initial pressure = 200 kPa

= Initial volume = v

= initial pressure = 101.3 kPa

Thus the final volume can only be twice of original volume. If it is greater than that, the balloon will burst.

c. 4.54 x 10–12 j happens to be correct