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viktelen [127]
3 years ago
7

The substance gray tin is found to crystallize in a cubic lattice, with an edge length of 646.0 pm. if the density of solid gray

tin is 5.850 g/cm3, how many sn atoms are there per unit cell?
Chemistry
1 answer:
saveliy_v [14]3 years ago
8 0

First find the volume of the cubic lattice given edge length of 646 pm or 6.46x10^-8 cm.

volume = (6.46x10^-8 cm)^3

volume = 2.7x10^-22 cm^3

 

The total mass of the lattice is:

mass = (5.850 g/cm^3) * 2.7x10^-22 cm^3

mass = 1.577x10^-21 grams

 

The molar mass of tin is 118.71 g/mol and the Avogadros number is 6.022 x 10^23 atoms/mol, hence:

 

Sn atoms = [1.577x10^-21 g / (118.71 g/mol)] * 6.022 x 10^23 atoms/mol

Sn atoms = 8 atoms

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When a 3.80 g sample of C8H18(l) is burned in a bomb calorimeter, the temperature of the calorimeter rises by 27.3 oC. The heat
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When heat is absorbed, the sign of heat is taken to be positive and when heat is released, the sign of heat is taken to be negative.

To calculate the number of moles, we use the equation:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}

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Putting values in above equation, we get:

\text{Moles of octane}=\frac{3.80g}{114g/mol}=0.033mol

To calculate the enthalpy change of the reaction, we use the equation:

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

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q = amount of heat released = -168.714 kJ

n = number of moles = 0.033 moles

\Delta E = enthalpy change of the reaction

Putting values in above equation, we get:

\Delta E=\frac{-168.714kJ}{0.033mol}=-5112.5kJ/mol

Hence, the enthalpy of the reaction is -5112.5 kJ/mol

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