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kiruha [24]
4 years ago
11

In one process, 6.05 kg of caf2 is treated with an excess of h2so4 and yields 2.85 kg of hf. calculate the percent yield of hf.

Chemistry
1 answer:
Kobotan [32]4 years ago
8 0
 The %  yield  of Hf  is  91. 8%


calculation

% yield =  actual mass/ theoretical mass  x100
actual mass = 2.85 Kg

calculate the theoretical  mass
by first  write the equation for reaction

CaF2  +H2SO4  → 2HF  + CaSO4
find  the  moles  of CaF2  used
moles = mass/molar mass
mass = 6.05Kg   = 6.05 x1000 =6050 Kg
molar mass  of CaF2  =  40 + (19 x2) = 78 g/mol

moles= 6050/ 78 = 77.6 moles

by  use  of mole ratio between  CaF2  to HF  which  is  1:2 the  moles of HF is therefore = 77.6 x2 =155.2  moles of Hf

find the  theoretical mass  of HF = moles x  molar mass ( 1 +19=20g/mol)

=   155.2  moles x 20 g/mol = 3104 grams  = 3104 /1000 = 3.104 Kg

The % yield  is therefore  = 2.85 Kg/ 3.104 Kg x100 =  91.8%

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Answer : The enthalpy change for the process is 52.5 kJ/mole.

Explanation :

Heat released by the reaction = Heat absorbed by the calorimeter + Heat absorbed by the solution

q=[q_1+q_2]

q=[c_1\times \Delta T+m_2\times c_2\times \Delta T]

where,

q = heat released by the reaction

q_1 = heat absorbed by the calorimeter

q_2 = heat absorbed by the solution

c_1 = specific heat of calorimeter = 12.1J/^oC

c_2 = specific heat of water = 4.18J/g^oC

m_2 = mass of water or solution = Density\times Volume=1/mL\times 100.0mL=100.0g

\Delta T = change in temperature = T_2-T_1=(26.3-20.2)^oC=6.1^oC

Now put all the given values in the above formula, we get:

q=[(12.1J/^oC\times 6.1^oC)+(100.0g\times 4.18J/g^oC\times 6.1^oC)]

q=2623.61J

Now we have to calculate the enthalpy change for the process.

\Delta H=\frac{q}{n}

where,

\Delta H = enthalpy change = ?

q = heat released = 2626.61 J

n = number of moles of copper sulfate used = Concentration\times Volume=1M\times 0.050L=0.050mole

\Delta H=\frac{2623.61J}{0.050mole}=52472.2J/mole=52.5kJ/mole

Therefore, the enthalpy change for the process is 52.5 kJ/mole.

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