Question

Find the pressure, compared to the original pressure P, if the volume of a given mass of a gas at constant temperature becomes four times larger.

Answer 1

In this question, we have an example of Boyle's gas Law, where pressure and volume are changed in a constant temperature, the formula for this law is the following:

P1V1 = P2V2

But instead of numbers, we need to find how much pressure increased or decreased with the increase of volume, for this question we can make some changes in the formula

If V2 is 4V1, we can add this into the formula

P1*V1 = P2*4V1

Now we divide both sides by 4, we will have

P1*V1/4 = P2*V1

If we divide both sides by V1, we will have

P1/4 = P2

Therefore the final pressure is P1/4, letter A