Question

A sample of oxygen gas has a volume of 150.0 mL at a pressure of 0.947 atm. What will the volume of the gas be at a pressure of 1.000 atm if the temperature remains constant?

Answer 1

`142.05mL`

Explanation:

From the information given for this question, we can see that this kind of situation is involving Boyle's Law.

Boyle's Law states that the pressure of a fixed mass of gas at a constant temperature is inversely proportional to its volume .

In which from the definition, the equation is derived as;

`Pquadpropquad 1/V` or `P=k/V` or `PV=k`

`P=` Pressure of gas
`V=` Volume of gas
`k=` Constant

When there are two situations , given initial and final value of both pressure and volume, the equation is derived as;

`P_iV_i=P_fV_f`

From the information given in this question;

`P_i=` Initial pressure of gas `=0.947atm`
`P_f=` Final pressure of gas `=1.000atm`
`V_i=` Initial volume of gas `=150mL`
`V_f=` Final volume of gas `=?mL`

Calculating `V_f`;

`(0.947atm)(150mL)=(1.000atm)V_f`

`V_f=(142.05cancel(atm)mL)/(1.000cancel(atm))`

`V_f=142.05mL`