135k views
1 vote
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

2 Answers

4 votes
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.
User Nosensus
by
8.7k points
5 votes

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.

User Fractale
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.