When 157 grams of caso4 are dissolved in enough water to yield a volume of 7.24×10^2 milliliter of solution the molarity of the solution will be?
mol of CaSO4 has mass of 136 grams
https://answers.yahoo.com/question/index?qid=20100111143339AAYHMMI
so you have
157/136 mols in 7.24*10^2 * 10^-3 liter
so
(157/136)mols / 0.724 liters = the mols per liter
To find the molarity of a solution, we need to know the number of moles of the solute (CaSO4) and the volume of the solution it is dissolved in (in liters).
1. Identify the given values:
- Mass of CaSO4 = 157 grams
- Volume of solution = 7.24 × 10^2 milliliters
2. Convert the volume from milliliters to liters:
7.24 × 10^2 milliliters = 7.24 × 10^2 ÷ 1000 = 0.724 liters
3. Calculate the number of moles of CaSO4:
To find the number of moles, we need to use the molar mass of CaSO4. The molar mass is the sum of the atomic masses of its constituent elements.
Molar mass of CaSO4:
- Ca = 40.08 g/mol
- S = 32.07 g/mol
- O = 16.00 g/mol (4 oxygen atoms)
Total molar mass of CaSO4 = (40.08 + 32.07 + (16.00 × 4)) g/mol = 136.14 g/mol
Number of moles of CaSO4 = Mass / Molar mass
Number of moles of CaSO4 = 157 g / 136.14 g/mol = 1.152 moles
4. Calculate the molarity of the solution:
Molarity = Number of moles / Volume of solution in liters
Molarity = 1.152 moles / 0.724 liters = 1.59 M (to two decimal places)
Therefore, the molarity of the CaSO4 solution is approximately 1.59 M.
To find the molarity of a solution, we need to use the formula:
Molarity (M) = moles of solute / volume of solution (in liters)
First, let's convert the given volume from milliliters to liters:
7.24 × 10^2 milliliters = 7.24 × 10^2 / 1000 = 0.724 liters
Next, we need to calculate the moles of solute. The molar mass of CaSO4 (calcium sulfate) can be determined by adding up the atomic masses of its constituent elements:
Ca: 40.08 g/mol
S: 32.07 g/mol
O: 16.00 g/mol (since there are four oxygen atoms in CaSO4, we multiply 16 by 4)
Molar mass of CaSO4 = 40.08 + 32.07 + (16.00 × 4) = 136.14 g/mol
Now, we can calculate the moles of CaSO4:
moles of CaSO4 = mass of CaSO4 / molar mass of CaSO4
= 157 g / 136.14 g/mol
Finally, we can substitute the values into the formula to find the molarity:
Molarity (M) = moles of solute / volume of solution
= (mass of CaSO4 / molar mass of CaSO4) / volume of solution
Now, calculate the result.