Question

what volume will a balloon occupy at 1.0 atm, if the balloon has a volume of 3.8 l at 1.9 atm? (assume constant temperature.) question 3 options: 2.0 l 1.50 l 1.9 l 7.2 l 5.7 l

Answer 1

`\huge{\boxed{7.2 \: L}}`

Step-by-step explanation:

Since constant temperature was assumed, the new volume can be found by using the formula

`v_2 = (p_1v_1)/(p_2) \\`

where

P1 is the initial pressure

P2 is the final pressure

V1 is the initial volume

V2 is the final volume

From the question

P1 = 1.9 atm

V2 = 3.8 L

P2 = 1

`v_2 = (1.9 * 3.8)/(1) \\ = 7.22 \approx 7.2`

We have the final answer as

7.2 L