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Juli2301 [7.4K]
3 years ago
10

a compound had a molecular weight of 112.124 atomic mass units and the empirical formula C3H4O what is the molecular formula of

the compound?
Chemistry
1 answer:
Snowcat [4.5K]3 years ago
8 0

Answer : The molecular of the compound is, C_6H_8O_2

Solution : Given,

Molecular weight of compound = 112.124 amu

The Empirical formula = C_3H_4O_1

First we have to calculate the empirical formula weight.

The empirical formula weight = 12(3) + 4(1) + 1(16) = 56 gram/eq

Now we have to calculate the molecular formula of the compound.

Formula used :

n=\frac{\text{Molecular formula}}{\text{Empirical formula weight}}\\\\n=\frac{112.124}{56}=2

Molecular formula = (C_3H_4O_1)_n=(C_3H_4O_1)_2=C_6H_8O_2

Therefore, the molecular of the compound is, C_6H_8O_2

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Total vapor pressure can be calculated using partial vapor pressures and mole fraction as follows:

P=X_{A}P_{A}+X_{B}P_{B}

Here, X_{A} is mole fraction of A, X_{B} is mole fraction of B, P_{A} is partial pressure of A and P_{B} is partial pressure of B.

The mole fraction of A and B are related to each other as follows:

X_{A}+X_{B}=1

In this problem, A is hexane and B is octane, mole fraction of hexane is given 0.580 thus, mole fraction of octane can be calculated as follows:

X_{octane}=1-X_{hexane}=1-0.58=0.42

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Now, vapor pressure can be calculated as follows:

P=X_{hexane}P_{hexane}+X_{octane}P_{octane}

Putting the values,

P=(0.580)(183 mmHg)+(0.420)(59.2 mmHg)=131 mmHg

Therefore, total vapor pressure over the solution of hexane and octane is 131 mmHg.

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