Pragya tested the solubility of four different substances at different temperatures and collected the data as given below (results are given in the following table,as grams of substance dissolved in $100 \,g$ of water to form a saturated solution).
< strong>Substance Dissolved < strong>$283 \,K$ < strong>$293 \,K$ < strong>$313 \,K$ < strong>$333 \,K$ < strong>$353 \,K$
Potassium nitrate $21$ $32$ $62$ $106$ $167$
Sodium chloride $36$ $36$ $36$ $37$ $37$
Potassium chloride $35$ $35$ $40$ $46$ $54$
Ammonium chloride $24$ $37$ $41$ $55$ $66$

$(a)$ Find the solubility of each salt at $293 \,K$. Which salt has the highest solubility at this temperature?
$(b)$ What is the effect of change of temperature on the solubility of a salt?

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(D) Solubility of each salt at $293 \,K$:
- Potassium nitrate: $32 \,g$ per $100 \,g$ of water.
- Sodium chloride: $36 \,g$ per $100 \,g$ of water.
- Potassium chloride: $35 \,g$ per $100 \,g$ of water.
- Ammonium chloride: $37 \,g$ per $100 \,g$ of water.
Ammonium chloride has the highest solubility ($37 \,g$ per $100 \,g$ of water) at $293 \,K$.
$(b)$ The solubility of most solid salts increases with an increase in temperature and decreases with a decrease in temperature.

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