calculate the enthalpy of mixing for the solution of 10% platinum and 90% gold .express
your answer in units of kg/mole
To calculate the enthalpy of mixing for a solution, we need to know the enthalpies of pure substances and the mole fractions of the components in the mixture. In this case, we have a solution with 10% platinum (Pt) and 90% gold (Au).
1. Find the enthalpies of pure platinum (H(Pt)) and pure gold (H(Au)). These values are typically given or can be found in reference tables. Let's assume H(Pt) = x kg/mole and H(Au) = y kg/mole.
2. Next, calculate the mole fraction (x(Pt)) of platinum and the mole fraction (x(Au)) of gold in the mixture. Since we have 10% platinum and 90% gold, we can calculate the mole fractions using the following formulas:
x(Pt) = mass of platinum / total mass of the mixture = 0.1
x(Au) = mass of gold / total mass of the mixture = 0.9
3. Now, we can calculate the enthalpy of mixing (H(mix)) using the following formula:
H(mix) = x(Pt) * H(Pt) + x(Au) * H(Au)
H(mix) = 0.1 * x + 0.9 * y
Replace x and y with the enthalpies of pure platinum and gold you have obtained or find them in reference tables. The resulting enthalpy of mixing will be in units of kg/mole.