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Artyom0805 [142]
3 years ago
12

Upon combustion, a compound containing only carbon and hydrogen produces 2.49 g CO2 and 0.763 g H2O . Find the empirical formula

of the compound
Chemistry
1 answer:
Rashid [163]3 years ago
3 0

Answer:

CH2.

Explanation:

The mass of C in the CO2 =  2.49 * 12/(12+32) =  0.6791 g

The mass of Hydrogen in the water = 2 * 1.008 / (2.016 + 16) = 0.1119 g.

Ratio of H to O is 0.1119/ 1.008 : 0.6791/12

= 0.111 : 0.0566

= 2 : 1

The empirical formula is CH2

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From the degree of freedom analysis, the degree of freedom of the system and its components are equal to zero hence the system is well defined

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0.4001/175 = 0.003 or 437.39 to 1 hence the mass flow rate is 889.1g×437.39 = 388884g/s or 388.9Kg/s

 

 

a. Degrees of freedom analysis for the overall system

We have the following 4 unknowns in the overall system viz

m1, m3, m4 and m5

where m1 = maximum mass flow rate into the system

m3 = mass rate of evaporated water

m4 = maximum mass of solid K₂SO₄ crystals produced from the crystallizers

m5 = recycle ratio

While we have

1) Information, maximum capacity of evaporation from where we can calculate the maximum rate of feed supply

2) information, including chemical formula, to determine the maximum production rate

3) Information to calculate the water evaporated from fraction of water which is evaporated to that which is supplied

4) information to calculate the recycle ratio

Hence degrees of freedom = 4 – 4 =0

 

b. Degree of freedom analysis for the recycle-fresh feed mixing point

For the recycle-fresh feed mixing point we have m1 and m5, two unknowns

Where m1 is maximum feed rate and m5 is the mass of filtrate and we are given the compound molecular formula and the maximum flow rate from where we can calculate both m1 and m5

Hence the degrees of freedom = 0

 

c. Degree of freedom analysis for the evaporator

 

For the evaporator we have three unknowns m1,m2 and m3 and the available information are

1. The maximum water processing capacity of the evaporators and

2.   The percentage quantity of water evaporated

Which is 2 hence we have 2 – 2 = 0 degrees of freedom

 

and

d. Degree of freedom analysis for the crystallizer the unknowns are m2, m4, m5

 

For the crystallizer the unknowns are m2, m4, m5The information available are

1. the ratio of crystals per kilogram of solution

2. The concentration of the recycled K₂SO₄ solution

3. Information of the maximum capacity of the evaporator so as to calculate the mass of concentrates leaving the evaporator and moving towards the crystallizer

Hence, we have 3 -3 = 0 degrees of freedom

 

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