To find the percent by mass of CaCl2*2H2O in the salt mixture, we need to calculate the mass of CaCl2*2H2O present in the original sample.
First, let's calculate the moles of CaCl2*2H2O using its molar mass:
Molar mass of CaCl2*2H2O = (40.08 g/mol) + (2 * 35.45 g/mol) + (2 * 18.02 g/mol) = 147.02 g/mol
Moles of CaCl2*2H2O = (mass of CaCl2*2H2O) / (molar mass of CaCl2*2H2O) = 0.375 g / 147.02 g/mol
Next, let's calculate the moles of K2C2O4*H2O using the balanced chemical equation:
CaCl2*2H2O + K2C2O4*H2O -> CaC2O4*H2O + 2KCl
From the balanced chemical equation, we can see that 1 mole of CaCl2*2H2O reacts with 1 mole of K2C2O4*H2O to produce 1 mole of CaC2O4*H2O. Therefore, the moles of K2C2O4*H2O can be equated to the moles of CaCl2*2H2O.
Moles of K2C2O4*H2O = Moles of CaCl2*2H2O = 0.375 g / 147.02 g/mol
Now, let's calculate the mass of the K2C2O4*H2O in the sample:
Mass of K2C2O4*H2O = Moles of K2C2O4*H2O * Molar mass of K2C2O4*H2O
Molar mass of K2C2O4*H2O = (2 * 39.10 g/mol) + (2 * 12.01 g/mol) + (4 * 16.00 g/mol) + 18.02 g/mol = 214.20 g/mol
Mass of K2C2O4*H2O = (0.375 g / 147.02 g/mol) * 214.20 g/mol
Finally, to calculate the percent by mass of CaCl2*2H2O in the salt mixture, we can use the following formula:
Percent by mass = (Mass of CaCl2*2H2O / Total mass of the salt mixture) * 100
Total mass of the salt mixture = mass of CaCl2*2H2O + mass of K2C2O4*H2O
Percent by mass of CaCl2*2H2O = (Mass of CaCl2*2H2O / (mass of CaCl2*2H2O + mass of K2C2O4*H2O)) * 100
Now substitute the values and calculate the percent by mass of CaCl2*2H2O.