Respuesta :
Answer:
159.77kJ
Explanations:
Given the balanced chemical reaction between carbon C(s) and SO2(g) expressed as:
[tex]5C\mleft(s\mright)+2SO_2\mleft(g\mright)\to CS_2\mleft(l\mright)+4CO\mleft(g\mright);\text{ }\Delta H\degree=239.9kJ[/tex]First, we need to get the number of moles of Carbon present using the formula;
[tex]\begin{gathered} \text{Moles =}\frac{Mass}{molar\text{ mass}} \\ \text{Moles of C=}\frac{40.0g}{12gmol^{-1}} \\ \text{Moles of C = }3.33\text{moles} \end{gathered}[/tex]According to the reaction, 5 moles of carbon reacts to produce 239.9 kJ of heat.
To determine how much heat will be produced by 3.33 moles of Carbon, this will be expressed as:
[tex]\begin{gathered} H_c=\frac{3.33\text{moles}}{5\text{moles}}\times239.9kJ \\ H_c=\frac{798.867}{5}kJ \\ H_c=159.77kJ \end{gathered}[/tex]Hence the amount of heat absorbed when 40.00 g of C( s) reacts in the presence of excess SO 2( g) to produce CS 2( l) and CO(g) is 159.77kJ
