A saturated solution of barium chloride at 30 degrees celcius contains 150g of water. How much additional barium chloride can be dissolved by heating this solution by heating this solution to 60 degrees.

Solubility of Bacl @ 30 degrees=38.2g/100g water
solubility of Bacl @ 60 degrees =46.6g/100g water

How is this problem solved?

To solve this problem, we need to calculate the maximum mass of additional barium chloride that can be dissolved when the temperature is increased from 30 degrees Celsius to 60 degrees Celsius.

Step 1: Determine the amount of barium chloride already dissolved in the saturated solution at 30 degrees Celsius.
Given that the solubility of barium chloride at 30 degrees Celsius is 38.2g/100g water, we can find the amount of barium chloride already dissolved as follows:
Mass of barium chloride = solubility x mass of water
= (38.2g/100g) x 150g
= 57.3g

Step 2: Calculate the maximum mass of barium chloride that can be dissolved in 150g of water at 60 degrees Celsius.
Given that the solubility of barium chloride at 60 degrees Celsius is 46.6g/100g water, we can find the maximum mass of barium chloride that can be dissolved as follows:
Max mass of barium chloride = solubility x mass of water
= (46.6g/100g) x 150g
= 69.9g

Step 3: Calculate the additional mass of barium chloride that can be dissolved by heating the solution to 60 degrees Celsius.
Additional mass of barium chloride = Max mass at 60 degrees - Mass at 30 degrees
= 69.9g - 57.3g
= 12.6g

Therefore, by heating the solution to 60 degrees Celsius, an additional 12.6g of barium chloride can be dissolved.

To solve this problem, we need to calculate how much additional barium chloride can be dissolved when the solution is heated from 30 degrees Celsius to 60 degrees Celsius.

Step 1: Calculate the amount of barium chloride that is already dissolved in the saturated solution at 30 degrees Celsius. The solubility of BaCl at 30 degrees Celsius is given as 38.2g/100g water. This means that for every 100g of water, 38.2g of BaCl can be dissolved.

Since the solution contains 150g of water, we can calculate the mass of BaCl that can be dissolved at 30 degrees Celsius using the ratio:

38.2g BaCl / 100g water = x g BaCl / 150g water

Cross multiplying, we get:

100g water * x g BaCl = 38.2g BaCl * 150g water

x g BaCl = (38.2g BaCl * 150g water) / 100g water

x g BaCl = 57.3g BaCl

Therefore, at 30 degrees Celsius, 57.3g of BaCl is already dissolved in the solution.

Step 2: Calculate the amount of additional barium chloride that can be dissolved when the solution is heated to 60 degrees Celsius. The solubility of BaCl at 60 degrees Celsius is given as 46.6g/100g water. Using the same method as Step 1, we can calculate the mass of BaCl that can be dissolved at 60 degrees Celsius.

46.6g BaCl / 100g water = y g BaCl / 150g water

Cross multiplying, we get:

100g water * y g BaCl = 46.6g BaCl * 150g water

y g BaCl = (46.6g BaCl * 150g water) / 100g water

y g BaCl = 69.9g BaCl

Therefore, at 60 degrees Celsius, 69.9g of BaCl can be dissolved in the solution.

Step 3: Calculate the additional amount of barium chloride that can be dissolved by subtracting the initial amount from the final amount:

Additional BaCl = Final BaCl - Initial BaCl

Additional BaCl = 69.9g - 57.3g

Additional BaCl = 12.6g

Therefore, by heating the solution from 30 degrees Celsius to 60 degrees Celsius, an additional 12.6g of barium chloride can be dissolved.