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Question

Chemistry Question on Thermodynamics

For which of the following reactions, ΔH\Delta H is equal to ΔU\Delta U ?

A

N2(g)+3H2(g)>2NH3(g)N_2(g) + 3H2(g) -> 2NH_3(g)

B

2HI(g)>H2(g)+I2(g)2HI(g) -> H_2(g) + I_2(g)

C

2NO2(g)>N2O4(g)2NO_2(g) -> N_2O_4(g)

D

2SO2(g)+O2(g)>2SO3(g)2SO_2(g) + O_2(g) -> 2SO_3(g)

Answer

2HI(g)>H2(g)+I2(g)2HI(g) -> H_2(g) + I_2(g)

Explanation

Solution

The correct option is(B): 2HI(g)>H2(g)+I2(g)2HI(g) -> H_2(g) + I_2(g).

We know ΔH=ΔU+ΔngRT\Delta H=\Delta U+\Delta n_{g} R T where Δng=\Delta n_{ g }= gaseous moles of products - gaseous moles of reactants For reaction 2HI(g)H2(g)+I2(g);Δng=22=02 HI ( g ) \rightarrow H _{2}( g )+ I _{2}( g ) ;\, \Delta n_{ g }=2-2=0 Therefore, from E (1), we get ΔH=ΔU\Delta H=\Delta U