Question

A syringe containing 1.64 mL of oxygen gas is cooled from 94.6 ∘C to 0.3 ∘C. What is the final volume Vf of oxygen gas?

Answer 1

`V_f=V_2=1.22* 10^(-3) L=1.22mL`

Step-by-step explanation:

Use Charles's law which states: "At constant pressure, the volume occupied by a gas sample is directly proportional to the absolute temperatures they support."

This law can be expressed mathematically as follows:

`(V_1)/(T_1)=(V_2)/(T_2)`

Where:

`V_1=Initial\hspace{3}volume=1.64mL=1.64* 10^(-3) L\\V_2=Final\hspace{3}volume\\T_1=Initial\hspace{3}temperature=94.6$^(\circ)$C=367.75K\\T_2=Final\hspace{3}temperature=0.3$^(\circ)$C=273.45K`

Solving for
`V_2`

`V_2=(V_1*T_2)/(T_1) =((1.64* 10^(-3) )*273.45)/(367.75) =1.21946431* 10^(-3) \approx1.22* 10^(-3) L =1.22mL`