In the dehydrogenation of ethane two reactions take place:

C2H6 => C2H4 + H2
C2H6 + H2 => 2CH4

The mass distribution of the product is: 27% C2H6; 33% C2H4; 13% H2; 27% CH4.

1. What was the conversion of C2H6 to CH4?
2. What was the yield of C2H4 expressed in kg of C2H4 produced per kg of C2H6?

To determine the answers to these questions, we need to use the mass balance equation and the given mass distribution of the products.

1. Conversion of C2H6 to CH4:
The conversion of C2H6 to CH4 can be calculated by dividing the mass of CH4 produced by the initial mass of C2H6 and multiplying by 100.

Conversion of C2H6 to CH4 = (mass of CH4 produced / initial mass of C2H6) * 100

Given the product mass distribution, we can see that 27% of the total mass is CH4. Therefore, the mass of CH4 produced in kg can be calculated by multiplying the initial mass of C2H6 by 0.27.

Mass of CH4 produced = initial mass of C2H6 * 0.27

Substituting this value into the conversion equation, we get:

Conversion of C2H6 to CH4 = (initial mass of C2H6 * 0.27 / initial mass of C2H6) * 100

Simplifying the equation, we find:

Conversion of C2H6 to CH4 = 27%

So, the conversion of C2H6 to CH4 is 27%.

2. Yield of C2H4:
The yield of C2H4, expressed in kg of C2H4 produced per kg of C2H6, can be calculated by dividing the mass of C2H4 produced by the initial mass of C2H6.

Yield of C2H4 = mass of C2H4 produced / initial mass of C2H6

According to the given product mass distribution, 33% of the total mass is C2H4. Therefore, the mass of C2H4 produced in kg can be calculated by multiplying the initial mass of C2H6 by 0.33.

Mass of C2H4 produced = initial mass of C2H6 * 0.33

Substituting this value into the yield equation, we get:

Yield of C2H4 = (initial mass of C2H6 * 0.33 / initial mass of C2H6)

Simplifying the equation, we find:

Yield of C2H4 = 33%

So, the yield of C2H4, expressed in kg of C2H4 produced per kg of C2H6, is 33%.