Question

What is the volume of `"0.220 mols"` of carbon monoxide gas found at STP?

Answer 1

If we assume that carbon monoxide (`"CO"`) is an ideal gas, then we can use the ideal gas law:

`\mathbf(PV = nRT)`

where:

• `P` is the pressure of the gas. We can use `"bars"` as our units.
• `V` is the volume of the gas in `"L"`.
• `n` is the `\mathbf("mol")`s of gas.
• `R` is the universal gas constant, `"0.083145 L"cdot"bar/mol"cdot"K"`.
• `T` is the temperature of the gas in `"K"`.

At STP, `T = 0^@ "C" = "273.15 K"`, and `P = "1 bar"`. So, to get the volume, just solve for `V`.

`color(blue)(V_"CO") = (nRT)/P`

`= ((0.220 cancel("mol CO"))("0.083145 L"cdotcancel("bar")"/"cancel("mol")cdotcancel("K"))(273.15 cancel("K")))/(1 cancel"bar")`

`=` `color(blue)("5.00 L")` to 3 sig figs.