explain whether sodium chloride or calcium chloride would be a more effective substance to melt the ice on a slick sidewalk.

The colligative property equation is

delta T = i*Kf*m
where i is the van't Hoff factor. It is the number of particles.
NaCl ionizes to two particles.
CaCl2 ionizes to three particles.
So which will have the greater effect, everything else being the same.

To determine whether sodium chloride or calcium chloride would be a more effective substance to melt ice on a slick sidewalk, we need to understand their properties and how they work as ice melters.

1. Sodium chloride (commonly known as table salt, NaCl):
- Sodium chloride is readily available and inexpensive.
- It is effective at melting ice and lowering the freezing point of water.
- However, its effectiveness decreases at temperatures below -9°C (15°F).
- Sodium chloride can also cause damage to vegetation and metal surfaces and is not environmentally friendly.

2. Calcium chloride (CaCl₂):
- Calcium chloride is more expensive than sodium chloride.
- It is highly effective at melting ice and has a lower freezing point than sodium chloride.
- Calcium chloride can be effective at very low temperatures, as low as -40°C (-40°F).
- It also absorbs moisture from the air, which helps to prevent the re-formation of ice.
- However, calcium chloride can be corrosive to metals and can be harmful to plants and pets if ingested.

Based on these properties, calcium chloride is generally considered to be more effective for melting ice on a slick sidewalk, especially in extremely cold temperatures. It has a lower freezing point and can work at lower temperatures compared to sodium chloride. However, if the temperature is not extremely low and environmental impact is a concern, using sodium chloride might be a more suitable choice.

When selecting an ice-melting substance, it's essential to consider the specific conditions, temperature range, cost, and any potential environmental or surface damage. It is always advisable to follow the instructions and guidelines provided by manufacturers for proper and safe usage.