Answer :
A total of 2269 balloons of 1.5 Liters volume and 1.25 atm pressure can be filled from the cylinder of volume 2.3 Liters and 1850 atm pressure.
The volume of the Helium gas is 2.3L and the pressure is 1850 atm at 25° Celsius.
The smaller balloons that has to be filled are of volume 1.5 L at the pressure 1.25atm at the same temperature of 25° C.
Because the temperature is conserved, so, according to Boyle's law,
When temperature is constant, the pressure and volume of the gas are inversely proportional to each other.
we can write,
P₁V₁ = P₂V₂
Let us say that a total n numbers of smaller balloons can be filled, so,
P₁V₁ = n(P₂V₂)
Where,
P₁ is pressure of bigger balloon,
V₁ is the volume of the bigger balloon,
P₂ is the pressure of the smaller balloon and,
V₂ is the volume of the smaller balloon.
Now, putting all the values,
2.30 x 1850 = n(1.5 x 1.25)
n = 2269
So, a total 2269 balloons can be filled from the bigger balloon to the smaller balloons.
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