Question

Part A

Use the following data at 298.15 K to complete this problem:

	ΔH∘R(kJ⋅mol−1)
1/2H2(g)+1/2O2(g)→OH(g)	38.95
H2(g)+1/2O2(g)→H2O(g)	-241.841
H2(g)→2H(g)	435.994
O2(g)→2O(g)	498.34

Assuming ideal gas behavior, calculate ΔH∘R and for the following reaction: OH(g)→H(g)+O(g)

Express your answer to five significant figures and include the appropriate units.

Part B

Assuming ideal gas behavior, calculate ΔU∘R and for the following reaction: OH(g)→H(g)+O(g)

Express your answer to five significant figures and include the appropriate units.

Part C

Assuming ideal gas behavior, calculate ΔH∘R and for the following reaction: H2O(g)→2H(g)+O(g)

Express your answer to five significant figures and include the appropriate units.

Part D

Assuming ideal gas behavior, calculate ΔU∘R and for the following reaction: H2O(g)→2H(g)+O(g)

Express your answer to five significant figures and include the appropriate units.

Part E

Assuming ideal gas behavior, calculate ΔH∘R and for the following reaction: H2O(g)→H(g)+OH(g)

Express your answer to five significant figures and include the appropriate units.

Part F

Assuming ideal gas behavior, calculate ΔU∘R and for the following reaction: H2O(g)→H(g)+OH(g)

Express your answer to five significant figures and include the appropriate units.

Answer 1

The following data is given Reactions H2(g)-:02(g)→OH(8)| 38.95 H.(g)+0. (g) -H,0(241.841 H(8)2H(g) 0.(g)-20(g) 435.994 498.34 The temperature of all the reactions is 298.15 K Part A Calculate the value of ΔΗ't for the reaction OH (g) H(8)-0 (g) as shown below OH()H.(g)+0.(g 38.95 x435.994 -x 498.34 AH°.--38.95+-(435.994)+-(498.34) 428.217 kJ -mol 428.22 mol Hence, the value of ΔΗ't for the reaction OH(g)-H(g)+O(g) is 1428.22 kJ mod

Part B The relation between ΔΗ.and Δυοis shown below , , Here, Δ·is the difference in moles of product and reactant, R is universal gas constant and T is the temperature. Note: An. -n Calculate the value of ΔU。r for the reaction OH (g) → H. ( g)-O(8) as shown below -1n 1 kl 1000 J -428.217-(2-1) x83 14JK-1mole#x 298.15K -425.74k Hence, the value of Δυ", for the reaction OH (g) H. (g) +0 (g) is 1425.74 Part C Calculate the value of Art for the reaction H,O(g) → 2H (g)-O(8) as shown below H,0(g)H(8)+0.( H2(g)→2H(g) 241841 435.994 498.34 H.O grHr.-org wr.32 (, . 2Hig). O( g AH°241.841+435.994 +1(498.34) - 927.005 kJ mol 927.01 mol Hence, the value of ΔΗ'r for the reaction H,O(8) . > 2H (g)-0(8) is 927.01 kJ-mol-1 |

Part D Calculate the value of Δυ, for the reaction H,O(8) 2H (g)-0(g) as shown below: .mol. (3-1)x8314 JK"mole%298.15Kx11ki -127.01 k 1000 J 922.05 k Hence, the value of Δυ", for the reaction H2O(8) 2H (g) +0(8) is 922.05M

Part E Calculate the value of ΔΗ®, for the reaction H,O(8) H (g)-OH (8) as shown below: ΔΗ',W.mol*) H,O(g)→H.(g)--O, (g) 241.841 x 435.994 lH.(e)- Io,(E)OH() 3895 AH 241.841+x435.994+38.95 -498.788 kJ-mol 498.79 kJ mol1 Hence, the value of AHs, for the reaction H,O(g) H(g)+OH(g) is 498.79 J mol Part F Calculate the value of AUe, for the reaction H,O(g)->H(g) OH(g) as shown below: 498.79 kJ.mol.(2-1)x8314 K'mole#x298. 15KX- 1 kJ 1000 J - 496.309 kJ 496.31 kJ Hence, the value of AUs, for the reaction H,O(g)-H(g)+OH(g)is 49631 k