Question

Question #6d6af

Answer 1

For Problem 1: `"82 L at STP"`; for Problem 2: `"1124 torr"`.

Explanation:

Problem 1

I assume you are asking for the volume back on Earth at STP (1 bar and 0 °C).

We can use the Combined Gas Laws equation.

`color(blue)(|bar(ul(color(white)(a/a) (P_1V_1)/T_1= (P_2V_2)/T_2color(white)(a/a)|)))" "`

We can rearrange the Combined Gas Laws equation to get

`V_2 = V_1 × P_1/P_2 × T_2/T_1`

`P_1 = "90 atm";color(white)(mmmmmml) V_1 = "2.50 L"; T_1 = "900 °F" = "482.22 °C" = "755.37 K"`
`P_2 = "1 bar" = "0.9869 atm"; V_2 = "?";color(white)(mmll) T_2 = "0 °C" = "273.15 K"`

`V_2 = "2.50 L" × (90 color(red)(cancel(color(black)("atm"))))/(0.9869 color(red)(cancel(color(black)("atm")))) × (273.15 color(red)(cancel(color(black)("K"))))/(755.37 color(red)(cancel(color(black)("K")))) = "82 L"`

Problem 2

There are twice as many dinitrogen molecules as dioxygen molecules.

So, dinitrogen is two-thirds of the total number of molecules and generates two-thirds of the total pressure.

Dinitrogen exerts two-thirds of 1686 torr, i.e. 1124 torr.