Question #59112

1 Answer
Jun 24, 2017

Answer:

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"#