helpAcetylene is produced from methane in the reaction:

$2C{H}_4(g)C_2{H}_2(g)+3H_2(g)$

An undesired side reaction is the decomposition of acetylene:

$C_2{H}_2(g)2C(s)+H_2(g)$

Methane is fed to the reactor at $1500C$ at a rate of $10$molC$\frac{H_4}{s}.$ Heat is transferred to the

reactor a rate of $Q(kW).$ The product temperature is $1500C$ and the fractional conversion

of methane is $0\mathrm{.}6.$ A flowchart of the process and enthalpy table are shown below.

References: $C(s),H_2(g)$ at $25C,1$atm

Using the heat capacities given below for enthalpy calculations, evaluate energy

requirement, $Q(kW)$ for the process.

$C{H}_4(g)$:$C_p=0\mathrm{.}079k\frac{J}{\text{m}\text{o}\text{l}\text{.}C}$

$C_2{H}_4(g)$:$C_p=0\mathrm{.}052k\frac{J}{\text{m}\text{o}\text{l}\text{.}C}$

$H_2(g)$:$C_p=0\mathrm{.}031k\frac{J}{\text{m}\text{o}\text{l}\text{.}C}$

$C(s)$:$C_p=0\mathrm{.}022k\frac{J}{\text{m}\text{o}\text{l}\text{.}C}$

$($for example, specific enthalpy of methane at $1500C$ relative to methane at $25C$

is $.\{$:$C)(1500-25)C=116\mathrm{.}5k\frac{J}{m}ol$

Simulate the process using Aspen Plus software, then:

a$)$ Compare its energy requirement with calculation in $(1).$ Hint: Use RK$-$

SOAVE base model

b$)$ Evaluate the effect of reactor's temperature and pressure on acetylene

yield. Present the correlation in graphical form. Hint: Use sensitivity

analysis.