# Problem: If the pressure in a helium-filled balloon is 4.4 atm when filled to 5.0 × 10  2 L, what volume is occupied by the helium-filled balloon when the pressure is reduced to 1.1 atm?(a) 2.0 × 102 L(b) 2.5 × 102 L(c) 2.2 × 102 L(d) 2.0 × 103 L(e) 3.0 × 102 L

###### FREE Expert Solution

Helium inside a balloon was initially at 4.4 atm when filled to 5.0 × 10  2 L then the pressure was reduced to  1.1 atm at a constant temperature. We’re being asked to determine the volume of the gas after decreasing the pressure.

Recall that the ideal gas law is:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

The pressure and volume of a gas are related to the number of moles, gas constant and temperatureThe value nRT is constant

###### Problem Details

If the pressure in a helium-filled balloon is 4.4 atm when filled to 5.0 × 10  2 L, what volume is occupied by the helium-filled balloon when the pressure is reduced to 1.1 atm?

(a) 2.0 × 102 L

(b) 2.5 × 102 L

(c) 2.2 × 102 L

(d) 2.0 × 103 L

(e) 3.0 × 102 L