Question

Consider an ideal gas at 27.0 degrees Celsius and 1.00atmosphere pressure. Imagine the molecules to be uniformly spaced,with each molecule at the center of a small cube. What is thelength L, transcription available belowof an edge of each small cube if adjacent cubes touch but don'toverlap

Answer 1

To find the length, L, of an edge of each small cube, we need to consider the volume occupied by 1 mole of gas at 27.0 degrees Celsius and 1.00 atmosphere pressure. Using the ideal gas law, we can calculate the length of each edge to be approximately 3.57 x 10^-9 L.

Step-by-step explanation:

To find the length, L, of an edge of each small cube, we need to consider the volume occupied by 1 mole of gas at 27.0 degrees Celsius and 1.00 atmosphere pressure. According to the ideal gas law, at STP (standard temperature and pressure), 1 mole of an ideal gas occupies a volume of 22.4 L. Therefore, the length, L, of each edge of the small cube is:

L = cube root of (volume of 1 mole of gas / number of gas molecules in 1 mole)

L = cube root of (22.4 L / 6.02 x 10^23 molecules)

L ≈ 3.57 x 10^-9 L

So, the length of each edge of the small cube is approximately 3.57 x 10^-9 L.