Propane gas $(C_3H_8)$ at $25^\circ C,$ 1 atm enters a reactor operating at steady state and burns with 20% excess au entering at $25^\circ C,$ 1 atm. Of the carbon entering with the fuel, 94% (molar basis) appears in the products as $CO_2$ and the rest as CO. Heat transfer from the reactor occurs at a rate of $1.4 \times 10^6 kJ$ per kmol of propane. Ignoring kinetic and potential energy effects, determine the temperature of the combustion products exiting the reactor, in K.

Carbon at $25^{\circ} \mathrm{C}, 1 \mathrm{~atm}$ enters a reactor operating at steady state and burns with oxygen entering at $127^{\circ} \mathrm{C}, 1 \mathrm{~atm}$. The entering streams have equal molar flow rates $A n$ equilibrium mixture of $\mathrm{CO}_2, \mathrm{CO}$, and $\mathrm{O}_2$ exits at $2727^{\circ} \mathrm{C}, 1$ atm. Determine, per kmol of carbon, (a) the composition of the exiting mixture. (b) the heat transfer between the reactor and its surroundings, in $\mathrm{kJ}$. Neglect kinetic and potential energy effects.

Gaseous propane $(C_3H_8)$ at $77^\circ F,$ 1 atm enters a reactor operating at steady state and burns with the theoretical amount of air entering separately at $240^\circ F,$ 1 atm. An equilibrium mixture of $CO_2,$ CO, $H_2O(g) O_2,$ and $N_2$ exits at $3140^\circ F,$ 1 atm. Determine the heat transfer between the reactor and its surroundings, in Btu per lbmol of propane entering. Neglect kinetic and potential energy effects.

Contrast the Hatchings’ cottage and yard with the rest of England “since the bombs.” What differing moods are created by the descriptions of these settings?

A sample of dried Appanoose County coal has a mass analysis of 71.1 % carbon, 5.1 % hydrogen $(H_2),$ 9.0% oxygen $(O_2),$ 1.4% nitrogen $(N_2),$ 5.8% sulfur, and the rest noncombustible ash. For complete combustion with the theoretical amount of air, determine a. the amount of $SO_2$ produced, in kg per kg of coal. b. the air-fuel ratio on a mass basis.

Carbon at $25^\circ C,$ 1 atm enters a reactor operating at steady state and burns with oxygen entering at $127^\circ C,$ 1 atm. The entering streams have equal molar flow rates. An equilibrium mixture of $CO_2,$ CO, and $O_2$ exits at $2727^\circ C,$ 1 atm. Determine, per kmol of carbon, a. the composition of the exiting mixture. b. the heat transfer between the reactor and its surroundings, in kJ. Neglect kinetic and potential energy effects.

Determine the lower heating value, in kJ per kmol of fuel and in kJ per kg of fuel, at $25^\circ C,$ 1 atm for a. gaseous ethane $(C_2H_6).$ b. liquid ethanol $(C_2H_5OH).$ c. gaseous propane $(C_3H_8).$ d. liquid octane $(C_8H_{18}).$

Solve each logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.Verify your results using a graphing utility. $\log _{a}(x-1)-\log _{a}(x+6)=\log _{a}(x-2)-\log _{a}(x+3)$

Dodecane $(C_{12}H_{26})$ burns completely with 150% of theoretical air. Determine a. the air-fuel ratio on a molar and mass basis. b. the dew point temperature of the combustion products, in $^\circ C,$ when cooled at 1 atm.

A trigonometric function is given. Sketch the graph of one complete period. $y=-5 \cos 4 x$

Which four countries account for most coal use worldwide? Figure shows global recoverable coal reserves.

For liquid water at 1 atm a slight increase in temperature from $0^\circ C$ results in (a) an increase in specific volume, (b) a decrease in specific volume, (c) no change in specific volume, (d) the specific volume behavior cannot be determined without more information.

Simplify

$$\frac { 1 } { \csc \theta }$$

Evaluate the expression and write in the form a + bi. (a) (2 - 3i) + (1 + 4i) (b) (2 + i)(3 - 2i)