The solubility of sodium chloride (NaCl) in water does depend on temperature, but the effect is relatively small. The solubility of NaCl increases with increasing temperature, meaning that more NaCl can dissolve in water at higher temperatures. This is because the kinetic energy of the water molecules increases with temperature, which helps to break apart the ions in the NaCl crystal lattice and allows them to dissolve into the water.

The relationship between temperature and the solubility of NaCl can be described using the following equation:

```

ln(S) = m × (1/T) + b

```

where:

- S is the solubility of NaCl in grams per liter

- T is the absolute temperature in Kelvin

- m and b are constants

The slope of the line (m) in the equation represents the change in the solubility of NaCl with temperature. The steeper the slope, the greater the effect of temperature on solubility. For NaCl, the slope is positive, indicating that the solubility increases with increasing temperature.

The following table shows the solubility of NaCl in water at different temperatures:

| Temperature (°C) | Solubility (g/L) |

|---|---|

| 0 | 35.7 |

| 25 | 36.0 |

| 50 | 37.2 |

| 75 | 38.4 |

| 100 | 39.8 |

As can be seen from the table, the solubility of NaCl increases by about 3 g/L for every 25°C increase in temperature. However, this increase is relatively small compared to the overall solubility of NaCl, which is around 36 g/L at room temperature. Therefore, while temperature does have an effect on the solubility of NaCl, it is not a major factor in most applications.