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A birthday balloon is filled with 6.4 L of Helium. The pressure changes to 0.87 atm and the balloon expands to occupy a volume of 20.5 L. What was the initial pressure exerted on the balloon in psi?

PLS HELP WITH WORK!!

User Kirguduck
by
3.6k points

2 Answers

2 votes

Answer:

3.97 psi

Step-by-step explanation:

User Vova
by
4.6k points
5 votes

Answer:

3.97 psi

Step-by-step explanation:

The new pressure can be found by using the formula for Boyle's law which is


P_1V_1 = P_2V_2

Since we're finding the new pressure


P_2 = (P_1V_1)/(V_2) \\

We have


P_2 = (6.4 * 0.87)/(20.5) = (5.568)/(20.5) \\ = 0.2716.... \\ \\ = 0.27 \: \: \: atm

But

1 atm = 14.7 psi

Then 0.27 atm =


(14.7 * 0.27)/(1) = 3.969 \\

We have the final answer as

3.97 psi

Hope this helps you

User Falstro
by
4.1k points