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?

Thank you!

How much BaCl2 do you have in the saturated solution. That is

38.2 x (150/100) = ? g BaCl2 @ 30 C.

How much CAN you have at 60 C (note the correct spelling of celsius)?
46.6 x (150/100) = ? g BaCl2 @ 60 C.
The difference is the amount BaCl2 that can be added.

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

First, we can calculate the maximum amount of barium chloride that can be dissolved in 150g of water at 30 degrees Celsius. The solubility of barium chloride at 30 degrees is given as 38.2g per 100g of water.

So, the maximum amount of barium chloride that can be dissolved in 150g of water at 30 degrees Celsius can be calculated as follows:

Maximum amount of BaCl2 at 30 degrees Celsius = (38.2g/100g water) x 150g water
= 57.3g

Next, we can calculate the maximum amount of barium chloride that can be dissolved in 150g of water at 60 degrees Celsius. The solubility of barium chloride at 60 degrees is given as 46.6g per 100g of water.

So, the maximum amount of barium chloride that can be dissolved in 150g of water at 60 degrees Celsius can be calculated as follows:

Maximum amount of BaCl2 at 60 degrees Celsius = (46.6g/100g water) x 150g water
= 69.9g

To find out how much additional barium chloride can be dissolved when the temperature is increased to 60 degrees Celsius, we subtract the amount of barium chloride already dissolved at 30 degrees Celsius from the maximum amount of barium chloride that can be dissolved at 60 degrees Celsius.

Additional barium chloride = Maximum amount at 60 degrees Celsius - Maximum amount at 30 degrees Celsius
= 69.9g - 57.3g
= 12.6g

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

To solve this problem, follow these steps:

Step 1: Determine the amount of barium chloride already dissolved in the saturated solution at 30 degrees Celsius.
- Given: Mass of water = 150g
- Solubility of BaCl2 at 30 degrees Celsius = 38.2g/100g water

To find the amount of BaCl2 dissolved, divide the mass of water by 100g and then multiply by the solubility:
(150g water / 100g water) × 38.2g BaCl2 = 57.3g BaCl2

Step 2: Calculate the maximum amount of barium chloride that can be dissolved at 60 degrees Celsius.
- Solubility of BaCl2 at 60 degrees Celsius = 46.6g/100g water

To find the maximum amount that can be dissolved, multiply the solubility by the mass of water:
(150g water / 100g water) × 46.6g BaCl2 = 69.9g BaCl2

Step 3: Calculate the additional amount of barium chloride that can be dissolved by heating the solution.
Subtract the amount of BaCl2 already dissolved at 30 degrees Celsius from the maximum amount that can be dissolved at 60 degrees Celsius:
69.9g BaCl2 - 57.3g BaCl2 = 12.6g BaCl2

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