What will the volume of a sample of gas be at STP if it has a volume of 2.34 L at 45°C and 0.984 atm?

1 Answer
May 11, 2016

Answer:

The volume will be 2.00 L.

Explanation:

This is an example of a Combined Gas Laws problem.

#color(blue)(|bar(ul((P_1V_1)/T_1 = (P_2V_2)/T_2|)#

We can rearrange this formula to get

#V_2 = V_1 × P_1/P_2 × T_2/T_1#

Your data are:

#P_1 color(white)(mmmm)= "0.984 atm"; V_1 = "2.34 L"; T_1 = "(45 + 273.15) K" ="318.15 K"#

#P_2 = "1 bar" = "0.987 atm"; V_2 = "?";color(white)(mml) T_2 = "273.15 K"#

#V_2 = V_1 × P_1/P_2 × T_2/T_1 = "2.34 L" × (0.984 color(red)(cancel(color(black)("atm"))))/(0.987 color(red)(cancel(color(black)("atm")))) × (273.15 color(red)(cancel(color(black)("K"))))/(318.15 color(red)(cancel(color(black)("K")))) = "2.00 L"#

The volume at STP is 2.00 L.