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Given NH(3)(g)+3Cl(2)(g)toNCl(3)(g)+3H...

Given
`NH_(3)(g)+3Cl_(2)(g)toNCl_(3)(g)+3HCl(g)+x_(1)`
`N_(2)(g)+3H_(2)(g)to2NH_(3)(g)+x_(2)`
`H_(2)(g)+Cl_(2)(g)to2HCl(g)-x_(3)`
The heat of formation of `NCl_(3)(g)`

A

`-x_(1)-(x_(2))/(2)-(3x_(3))/(2)`

B

`x_(1)+(x_(2))/(2)-(3)/(2)x_(3)`

C

`x_(1)-(x_(2))/(2)-(3)/(2)x_(3)`

D

`x_(1)+x_(2)+(3x_(3))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

Carry out the following operation
`(1)/(2)[eqn.(ii)]+eqn. (i)-(3)/(2)[eqn.iii]`
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NH_(3)(g)+3Cl_(2)toNCl_(3)(g)+3HCl(g),DeltaH_(1) N_(2)(g)+3H_(2)(g)to2NH_(3)(g),DeltaH_(2) H_(2)(g)+Cl_(2)(g)to 2HCl(g),DeltaH_(3) The heat of formation of NCl_(3) (g) in the terms of DeltaH_(1),DeltaH_(2),DeltaH_(3) is :

NH_(3)(g)+3C1_(2)(g)rarrNCL_(3)(g)+3HC1(g)DeltaH_(1) N_(2)(g)+3H_(2)(g)rarr2NH_(3),DeltaH_(2) H_(2)(g)+CL_(2)(g)rarr2HC1(g),DeltaH_(1) The heat of fomation of NC1_(2)(g) in the terms of DeltaH_(1) , DeltaH_(2) and DeltaH_(3) is

NH_(3)(g) + 3Cl_(2)(g) rarr NCl_(3)(g) + 3HCl(g), " "DeltaH_(1) N_(2)(g)+3H_(2)(g)rarr 2NH_(3)(g), " "DeltaH_(2) H_(2)(g)+ Cl_(2)(g) rarr 2HCl(g) , " " DeltaH_(3) The heat of formation of NCl_(3) in the terms of DeltaH_(1), DeltaH_(2) "and" DeltaH_(3) is

NH_(3)(g) + 3Cl_(2)(g) rarr NCl_(3)(g) + 3HCl(g), " "DeltaH_(1) N_(2)(g) + 3H_(2)(g) rarr 2NH_(3)(g), " "Delta H_(2) H_(2)(g) + Cl_(2)(g) rarr 2HCl(g), " "Delta H_(3) The heat of formation of NCl3(g) in the terms of DeltaH_(1), DeltaH_2 and DeltaH_(3) is :

Given : (i) NH_(3) (g) + 3Cl_(2)(g) rarr NCl_(3)(g)+3HCl(g) , Delta H_(1) (ii) N_(2)(g) + 3H_(2)(g) rarr 2NH_(3)(g) , Delta H_(2) (iii) H_(2)(g)+Cl_(2)(g) rarr2HCl(g) , Delta H_(3) Express the enthalpy of formation of NCl_(3)(g)(Delta H_(f)) in terms of DeltaH_(1), Delta H_(2) and Delta H_(3) :

Given a. NH_(3)(g)+3CI(g)rarr NCI_(3)(g),3HCI(g),DeltaH_(1) b. N_(2)(g)+3H_(2)(g)rarr 2NH_(3)(g),DeltaH_(2) c. H_(2)(g)+CI_(2)(g)rarr 2HCI(g),DeltaH_(3) Express the enthalpy of formation of NCI_(3)(g)(Delta_(f)H^(Theta)) in terms of DeltaH_(1), DeltaH_(2) ,and DeltaH_(3) .

For the reaction, N_(2)(g)+3H_(2)(g) to 2NH_(3)(g)

DINESH PUBLICATION-CHEMICAL THERMODYNAMICS AND CHEMICAL ENERGETICS -Exercise
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