A flexible camping tank has a sample of butane gas at 17.2 atm and has volume of 6.5L. What will be the volume if the pressure is adjusted to 6.4 atm?

If the pressure is adjusted to  6.4 atm, the volume will be 17.47 atm.

Explanation:

Boyle's law says that the volume occupied by a given gaseous mass at constant temperature is inversely proportional to pressure. That is, if the pressure increases, the volume decreases while if the pressure decreases, the volume increases.

Mathematically, Boyle's law indicates that the product of pressure and volume always has the same value:

P*V= k

Analyzing an initial state 1 and a final state 2, it is satisfied:

P1*V1= P2*V2

In this case:

Replacing:

17.2 atm* 6.5 L= 6.4 atm* V2

Solving:

V2=17.47 L

If the pressure is adjusted to  6.4 atm, the volume will be 17.47 atm.