Question

Question #9a2b3

Answer 1

Here's what I get.

Explanation:

The "accepted value" is the value that chemists agree is correct.

SATP stands for `color(blue)("Standard Ambient Temperature and Pressure")`.

It is defined as a temperature of 25 °C (298.15 K) and a pressure of 1 bar.

The accepted value for the molar volume of an ideal gas at SATP is 24.79 L.

STP stands for `color(blue)("Standard Temperature and Pressure")`.

It is defined as a temperature of 0 °C (273.15 K) and a pressure of 1 bar.

The accepted value for the molar volume of an ideal gas at SATP is 22.41 L.

We can use the Ideal Gas Law to calculate these volumes.

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

We can rearrange this formula to get

`V = (nRT)/P`

At SATP

`V = (nRT)/P = (1 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"))) × 298.15 color(red)(cancel(color(black)("K"))))/(1 color(red)(cancel(color(black)("bar")))) = "24.79 L"`

At STP

`V = (nRT)/P = (1 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")))) = "22.71 L"`