Question

Rank these systems in order of decreasing entropy.

Rank from highest to lowest entropy. To rank items as equivalent, overlap them.

1/2 mol of liquid radonat 100 K 1 mol of nitrogen gas at273 K and 40 L 1/2 mol of radon gas at 273 K and 20 L 1 mol of radon gas at 273 K and 40 L 1/2 mol of radon gas at 100 K and 20 L 1 mol of nitrogen dioxide gas at 273 K and 40 L 1 mol of radon gas at 273 K and 20 L

Answer 1

Entropy --> measurement of Chaos... More space --> more chaos, i.e. more microstates

More T --> more erratic movement

more moles --> more chaos

so...

solids < liquids < gas

1/2 mol of liquid radonat 100 K --> LEAST entropy, since liquid

T = 273 K, V = 40 L

1 mol of nitrogen dioxide gas at 273 K and 40 L (3 atom molecule)

1 mol of nitrogen gas at 273 K and 40 L (diatomic)

1 mol of radon gas at 273 K and 40 L (1 atom )

T = 273 K, V = 20 L

1 mol of radon gas at 273 K and 20 L (more moles per unit volume)

1/2 mol of radon gas at 273 K and 20 L

T = 100 K (LEAST, since it is dependent of T)

1/2 mol of radon gas at 100 K and 20 L