Chemistry- Boyle's Law

Question

A certain gas is present in a 13.0 L cylinder at 3.0 atm pressure. If the pressure is increased to 6.0 atm , the volume of the gas decreases to 6.5 L . Find the two constants ki, the initial value of k, and kf, the final value of k, to verify whether the gas obeys Boyle’s law.

Answer 1

Boyles Law is applicable when the temperature is constant, and states that the Pressure (P) is inversely proportional to the Volume (V). This can be written as

P = k/V

Initial conditions:

P = k1/V

k1 = PV

k1 = (3 atm)(13 L)

k1 = 39 Latm

Final conditins:

P = k2/V

k2 = PV

k2 = (6 atm)(6.5 L)

k2 = 39 Latm

Since k1 = k2 this illustrates that the gas obeys Boyles Law.