the solubility product of Bi2S3 is 1.0 and that of HgS is 1.0. which one is the least soluble under a given temperature

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You have made typos in your post by not including the exponent for the solubility. I can't work it as is.

To determine the least soluble compound under a given temperature, we compare the solubility products of the compounds. The solubility product (Ksp) is a measure of the maximum amount of solute that will dissolve in a solvent at a given temperature.

In this case, the solubility product of Bi2S3 is given as 1.0, and the solubility product of HgS is also given as 1.0. Since their solubility products are equal, we cannot directly determine which one is the least soluble based on this information.

To determine which one is the least soluble, we need additional information such as their molar masses or solubility in a specific solvent.

To determine which compound is least soluble under a given temperature, we need to compare their solubility product constants, also known as Ksp values. The solubility product constant (Ksp) is a measure of the solubility of a compound in a solvent at a specific temperature.

In this case, the solubility product constant of Bi2S3 is 1.0, and the solubility product constant of HgS is also 1.0. Since both compounds have the same Ksp value, we cannot determine which one is least soluble based only on this information.

To further determine the solubility of these compounds, we need additional data such as molar solubility or solubility in a specific solvent or solution. Only with such data can we accurately determine which compound is least soluble at a given temperature.