(Solved): n-Pentane is burned with excess air in a continuous combustion chamber. Below is a skeleton flowch ...

$$\mathrm{n}$$-Pentane is burned with excess air in a continuous combustion chamber. Below is a skeleton flowchart. Air Composition If $$n_2$$ were 30.0 moles, what would be the value of $$n_4$$ ? $$\mathrm{mol}$$ A technician runs an anlysis and reports that the product gas contains $$0.410\mathrm{mol}\%$$ pentane, $$5.30\mathrm{mol}\%{\mathrm{O}}_2,9.10\mathrm{mol}\%{\mathrm{CO}}_2$$, and the balance $${\mathrm{N}}_2$$ on a dry basis. Assume 100.0 mol of dry product gas as a basis of calculation. For the flowchart sketched above, perform a degrees-of-freedom analysis. How many elemental balances may be written? How many degrees of freedom are there? A technician runs an analysis and reports that the product gas contains $$0.410\mathrm{mol}\%$$ pentane, $$5.30\mathrm{mol}{\mathrm{O}}_2,9.10\mathrm{mol}\%{\mathrm{CO}}_2$$, and the balance $${\mathrm{N}}_2$$ on a dry basis. Assume 100.0 mol of dry product gas as a basis of calculation. $$\mathrm{mol}{\mathrm{N}}_2$$ How many moles of $${\mathrm{N}}_2$$ are in the dry product gas? How many moles of $$\mathrm{C}$$ are in the dry product gas? $$\mathrm{mol}\mathrm{C}$$ How many moles of $$n$$-pentane enter the combustion $$\mathrm{mol}$$ chamber (What is $$n_1$$ ?) (Use a balance on C)? From the constraint on the composition of air, calculate how many moles of $${\mathrm{O}}_2$$ enter the system. (What is $$n_2$$ ?) Use a balance on hydrogen to calculate $$n_3$$. $$\mathrm{mol}$$ What is $$n_3?$$ Calculate the total moles of elemental $$\mathrm{O}$$ entering the $$\mathrm{mol}$$ system from $$n_2$$. How many moles of elemental $$\mathrm{O}$$ enter? Calculate the total moles of elemental O leaving the system $$\mathrm{mol}$$ A technician runs a second analysis and reports that the product gas contains $$0.17333\mathrm{mol}\%$$ pentane, $$5.7415\mathrm{mol}\%{\mathrm{O}}_2,10.333$$ mol\% $${\mathrm{CO}}_2$$, and the balance $${\mathrm{N}}_2$$ on a dry basis. Assume $$100.0\mathrm{mol}$$ of dry product gas as a basis of calculation. $$\mathrm{mol}{\mathrm{N}}_2$$ How many moles of $${\mathrm{N}}_2$$ are in the dry product gas? $$\mathrm{mol}\mathrm{C}$$ How many moles of $$\mathrm{C}$$ are in the dry product gas? How many moles of $$n$$-pentane enter the combustion $$\mathrm{mol}$$ chamber (What is $$n_1$$ ?) (Use a balance on C)? From the constraint on the composition of air, calculate how many moles of $${\mathrm{O}}_2$$ enter the system. (What is $$n_2$$ ?) Use a balance on hydrogen to calculate $$n_3$$. $$\mathrm{mol}$$ (What is $$n_3$$ ?) Calculate the total moles of elemental $$\mathrm{O}$$ entering the $$\mathrm{mol}$$ system from $$n_2$$. How many moles of elemental $$\mathrm{O}$$ enter? Calculate the total moles of elemental $$\mathrm{O}$$ entering the $$\mathrm{mol}$$ system from $$n_2$$. How many moles of elemental $$\mathrm{O}$$ enter? Calculate the total moles of elemental $$\mathrm{O}$$ leaving the system from DPG and water. How many moles of elemental O leave? Observe that an $$\mathrm{O}$$ balance is satisfied. $$\%$$ What is the percentage excess of oxygen being supplied? What is the fractional conversion of n-pentane?