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?

1 Answer
Mar 6, 2016

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