(Solved):   In the Haber process, ammonia is synthesized from nitrogen and hydrogen: \[ \mathrm{N}_{2} ...

 

In the Haber process, ammonia is synthesized from nitrogen and hydrogen: \[ \mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_{3}(\mathrm{~g}) \] The \( \Delta_{\mathrm{r}} \mathrm{G}^{0} \) for this reaction is \( -33.3 \mathrm{~kJ} \) for the reaction as written. What is the \( \Delta_{\mathrm{r}} \mathrm{G} \) at \( 298 \mathrm{~K} \) for a reaction mixture that consists of \( 12.0 \) bar \( \mathrm{N}_{2}, 4.0 \) bar \( \mathrm{H}_{2} \) and \( 7.0 \) bar \( \mathrm{NH}_{3} ?\left(\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right) \). Provide your answer in units of \( \mathrm{kJ} \), to one decimal place. Do not write down the units (since Nexus may not recognize your answer and may assign a grade of 0 ). Your Answer: Answer