Question

Question #59112

Answer 1

The volume at STP is 471 L.

Explanation:

Step 1. Calculate the moles of `"CO"_2`

`"Moles of CO"_2 = 1.25 × 10^25 color(red)(cancel(color(black)("molecules"))) × "1 mol"/(6.022 ×10^23 color(red)(cancel(color(black)("molecules")))) = "20.76 mol"`

Step 2. Calculate the volume of `"CO"_2`

I assume that the gas is at STP (1 bar and 0 °C).

We can use the Ideal Gas Law to calculate the volume.

`color(blue)(bar(ul(|color(white)(a/a)pV = nRTcolor(white)(a/a)|)))" "`

We can rearrange this to

`V = (nRT)/p`

∴ `V = (20.76 color(red)(cancel(color(black)("mol"))) × "0.083 14" color(red)(cancel(color(black)("bar")))·"L"·color(red)(cancel(color(black)("K"^"-1""mol"^"-1"))) × 273.15 color(red)(cancel(color(black)("K"))))/(1 color(red)(cancel(color(black)("bar")))) = "471 L"`