Considering the Boyle's law,the volume of the new sample of gas will be 19.778 atm.
<h3>Boyle's law</h3>
Boyle's law establishes the relationship between the pressure and the volume of a gas when the temperature is constant. This law says that the pressure of a gas in a closed container is inversely proportional to the volume of the container: if the pressure increases, the volume decreases, while if the pressure decreases, the volume increases.
Boyle's law is expressed mathematically as:
P×V=k
Having an initial state 1 and a final state 2, the following is true:
P1×V1=P2×V2
<h3>New volume</h3>
In this case, you know:
- P1= 1.78 atm
- V1= 11 L
- P2= 0.99 atm
- V2= ?
Replacing in Boyle's law:
1.78 atm× 11 L=0.99 atm× V2
Solving:
(1.78 atm× 11 L)÷ 0.99 atm=V2
<u><em>19.778 atm= V2</em></u>
Finally, the volume of the new sample of gas will be 19.778 atm.
Learn more about Boyle's law:
brainly.com/question/4147359
#SPJ1