A ballon begins at sea level at 1 atm. It rises in the atmosphere to where the pressure is lower, to where the pressure is .75 atm and where it's volume becomes 4 liters. What was it's original volume

Respuesta :

Answer:

Original volume=3L

Explanation:

Assuming the gas in the ballon is ideal and the temperature does not vary with height  we have the gas law as

PV=nRT

Here RHS is constant in both the conditions which means

PV=constant

Given P1=1 atm V1=V  P2=0.75atm V2=4L

P1V1=P2V2

[tex]1*V=0.75*4[/tex]

V=3L

The initial volume of the gas is 3L