potash is any potassium mineral that used for its potassium content. most of the

Question

potash is any potassium mineral that used for its potassium content. most of the potash used in the united states is used in fertilizer. the major sources of potash are potassium chloride (kcl) and potassium sulfate (k2so4). potash production is often reported as the potassium oxide (k2o) equivalent or the amount of k2o that could be made from a given mineral. if kcl costs 0.079$ per kg, for what price must k2so4 be sold in order to supply the same amount of potassium on a per dollar basis ? What mass (in kg) of K2O contains the same number of moles of K atoms as 2.17kg of KC1

Explanation / Answer

1) KCl molar mass = 74.55 g/mol

# moles KCl in 1 kg (1000g) = 1000/74.55 = 13.41 moles

KCl contains 1 equivalent K and I equivalent Cl

Therefore # moles of K in 1000 g KCl = 13.41 moles

For the same anount of K in KCl the corresponding # moles of K in K2SO4 = 13.41//2 = 6.705 moles

Wt of 6.705 moles of K2SO4 = 6.705 * MW of K2SO4 = 6.705 * 174.259 = 1168.4 g = 1.1684 kg

i.e 1.1684 Kg of K2SO4 costs 0.079 $

Cost/kg = 0.0676$/kg

b) # moles of K in 2.71kg KCl = 2710/74.55 = 36.35 moles

corresponding # moles in K2O = 36.35/2 = 18.175 moles

Wt of 18.175 moles of K2O = 18.175 MW K2O = 18.175*94.2 =1712.08 g = 1.172 g

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