A 2.5 L balloon is filled with helium to under constant pressure at a temperature of 25 °C. The temperature remains constant, but the balloon has a leak. What is the volume of helium in the balloon when the half of the helium has escaped?

Question

A 2.5 L balloon is filled with helium to under constant pressure at a temperature of 25 °C. The temperature remains constant, but the balloon has a leak. What is the volume of helium in the balloon when the half of the helium has escaped?

I'm confused on this question. I used avogadro's law but I can't find moles

Answer 1

Is something missing here? The first sentence isn't complete. If you know the volume and pressure you can calculate moles from

2.5 L x (T/273) x (760/P) x 1/22.4 = ?

Answer 2

Hmmm, saw one like this earlier.

P V = n R T
assume the balloon fabric is so stretchy that it has no effect on pressure.
P is one atmosphere before and after
n at the end is 1/2 the original n
R is a constant
T is the same before and after
therefore if n is cut in half, only V can change with n
so
the final V is 1/2 the original V
(you do not need the n of mols, all you need to know is that it is one half of the starting n)

Answer 3

I need to use Avogadro's Law

Answer 4

P V = n R T

is
Avagadro's law
R is a constant that depends only on what units you are using so you can say
P1 V1 / (n1 T1) = P2 V2 /(n2 T2)

Answer 5

Try using your search engine, Google or whatever, for

Avogadro's Law

Answer 6

To determine the volume of helium remaining in the balloon after half of it has escaped, we can use the Ideal Gas Law, which relates pressure, volume, temperature, and the number of moles of a gas.

To apply the Ideal Gas Law equation, we need the number of moles of the helium present. However, Avogadro's Law, which states that equal volumes of gases at the same temperature and pressure contain an equal number of molecules, is not directly applicable here since the temperature is constant.

Instead, we can consider the constant pressure condition in the problem. According to Avogadro's Law, under constant pressure and temperature, the volume of a gas is directly proportional to the number of moles present. Therefore, if the volume is reduced to half, then the number of moles of gas should also be reduced to half.

Now, let's solve the problem:

1. Given initial volume of the balloon: 2.5 L
2. Half of the helium has escaped, so the remaining volume should be half of the original volume.
Remaining volume = 2.5 L / 2 = 1.25 L

Therefore, the volume of helium in the balloon when half of it has escaped is 1.25 L.