Answer:
The volume when the pressure is changed to 1.23 atm and temperature is constant will be 6.3075 L.
Step-by-step explanation:
Pressure and volume are related by Boyle's law that says:
"The volume occupied by a certain gas mass at a constant temperature is inversely proportional to the pressure"
Boyle's law is expressed mathematically as:
P * V = k
where:
- P: Pressure
- V: Volume
- k: Constant
Assuming a certain volume of gas V1 is at a pressure P1 at the beginning of the experiment. By varying the volume of gas to a new V2 value, then the pressure will change to P2, and the following will be true:
P1 * V1 = P2 * V2
In this case you have:
- P1= 754 torr= 0.9921 atm (1 atm=760 torr)
- V1= 7.82 L
- P2=1.23 atm
- V2=?
Replacing:
0.9921 atm*7.82 L=1.23 atm*V2
Resolving:
V2≅6.3075 L
The volume when the pressure is changed to 1.23 atm and temperature is constant will be 6.3075 L.