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

Answer:

#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#