
Michael M. answered 03/20/24
Math, Chem, Physics, Tutoring with Michael ("800" SAT math)
We can use Boyle's law for this. Boyle's law says that at a constant temperature, pressure and volume are inversely proportional. In other words as pressure doubles, volume halves. As pressure triples, volume is divided by three.
The equation for this is PV = k. Pressure x volume equals some constant.
You can also think of it as P1V1 = P2V2 or the pressure x volume in one system is equal to the pressure x volume in another.
P1 and V1 will be 742mmHg and 20.9L respectively. And after compression, we get P2 = 844mmHg and have to find V2.
Plug in and you'll solve for your answer