If the solubility of a salt is 40, what gram of solvent is required to dissolve 60 gm of the salt?
A. 100gm
B. 150gm
C. 40gm
D. 60gm
Answer (2)
Define solubility: 40 grams of salt dissolve in 100 grams of solvent.
Set up a proportion: 100 40 = x 60 , where x is the amount of solvent needed.
Solve for x : x = 40 60 × 100 = 150 .
Therefore, 150 grams of solvent are required to dissolve 60 grams of the salt: 150 gm .
Explanation
Understanding the Problem We are given that the solubility of a salt is 40. This means that 40 grams of the salt can dissolve in 100 grams of solvent. We need to find out how many grams of solvent are required to dissolve 60 grams of the salt.
Setting up the Proportion We can set up a proportion to solve this problem. Let x be the amount of solvent (in grams) needed to dissolve 60 grams of the salt. The proportion is: 100 g solvent solubility = amount of solvent amount of salt Substituting the given values, we get: 100 40 = x 60
Solving for x Now, we solve for x :
40 x = 60 × 100 x = 40 60 × 100 x = 40 6000 x = 150 Therefore, 150 grams of solvent are required to dissolve 60 grams of the salt.
Final Answer So, 150 grams of solvent is required to dissolve 60 grams of the salt. The answer is 150gm.
Examples
Solubility is a crucial concept in various real-world applications. For instance, in the pharmaceutical industry, it's essential to determine the right amount of solvent to dissolve a drug for effective delivery in the body. Similarly, in food processing, understanding solubility helps in creating solutions like sugar or salt solutions with specific concentrations. In environmental science, solubility helps predict how pollutants dissolve and spread in water bodies, affecting water quality and ecosystem health. Knowing how much solute can dissolve in a solvent at a given temperature is key to many scientific and industrial processes.
To dissolve 60 grams of a salt with a solubility of 40, 150 grams of solvent are required. This was calculated by setting up a proportion based on the solubility ratio. The final answer is 150 gm.
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