Question

If a 10.0 L balloon expands to 20.0 L when the pressure is at 2.0 atm, then determine the final pressure of the balloon as temperature is held constant.

A. 8.0 atm
B. 4.0 atm
C. 2.0 atm
D. 1.0 atm

Answer 1

The final pressure of the balloon is 1.0 atm.

Step-by-step explanation:

To determine the final pressure of the balloon when its volume increases from 10.0 L to 20.0 L, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. We can set up the equation:

P1 * V1 = P2 * V2

Plugging in the values, P1 = 2.0 atm, V1 = 10.0 L, and V2 = 20.0 L:

2.0 atm * 10.0 L = P2 * 20.0 L

Solving for P2:

P2 = (2.0 atm * 10.0 L) / 20.0 L = 1.0 atm

Therefore, the final pressure of the balloon is 1.0 atm, which corresponds to option D.