Question

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

Answer 1

you can find the ratio that it can expand with the atmospheric pressure.

200.0/101.3= 1.97 ≈ 2, this means that the balloon could expand twice its initial volume. So, it is not possible for the balloon to expand to 4 since the maximum is 2.

Answer 2

Answer: No, it is not possible.

Step-by-step 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.

`P\propto (1)/(V)` (At constant temperature and number of moles)

`P_1* V_1=P_2* V_2`

where,
`P_1`= initial pressure = 200 kPa

`V_1`= Initial volume = v

`P_2`= initial pressure = 101.3 kPa

`P_1* V_1=P_2* V_2`

`200* v=101.3* V_2`

`V_2=2v`

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