Predict the sign of the entropy change,Delta S, for each of the following reactions:The signs are either going to be pos or negativea) Pb^2+(aq) + 2Cl-(aq) ---> PbCl2(s)b) CaCO3(s) ---> CaO(s) + CO2 (g)c) 2NH3(g) ---> N2(g) + 3H2(g)d) P4(g) + 5O2(g) ---> P4O10(s)e) C4H8(g) + 6O2(g) ---> 4CO2(g) + 4H2O(g)f) I2(s) ---> I2(g)

Respuesta :

Answer: a) [tex]Pb^{2+}(aq)+2Cl^-(aq)\rightarrow PbCl_2(s)[/tex]:  negative

b)  [tex]CaCO_3(s)\rightarrow CaO(s)+CO_2(g)[/tex] : positive

c) [tex]2NH_3(g)\rightarrow N_2(g)+3H_2(g)[/tex]: positive.

d) [tex]P_4(g)+5O_2(g)\rightarrow P_4O_{10}(s)[/tex] : negative

e) [tex]C_4H_8(g)+6O_2(g)\rightarrow 4CO_2(g)+4H_2O(g)[/tex]:  positive.

f) [tex]I_2(s)\rightarrow I_2(g)[/tex] : positive.

Explanation:

Entropy is the measure of randomness or disorder of a system. If a system moves from  an ordered arrangement to a disordered arrangement, the entropy is said to decrease and vice versa.

[tex]\Delta S[/tex] is positive when randomness increases and [tex]\Delta S[/tex] is negative when randomness decreases.

a) [tex]Pb^{2+}(aq)+2Cl^-(aq)\rightarrow PbCl_2(s)[/tex]

As ions are moving to solid form , randomness decreases and thus sign of [tex]\Delta S[/tex] is negative.

b) [tex]CaCO_3(s)\rightarrow CaO(s)+CO_2(g)[/tex]

As solid is changing to gas, randomness increases and thus sign of [tex]\Delta S[/tex] is positive.

c) [tex]2NH_3(g)\rightarrow N_2(g)+3H_2(g)[/tex]

As 2 moles of reactants are converted to 4 moles of products , randomness increases and thus sign of [tex]\Delta S[/tex] is positive.

d) [tex]P_4(g)+5O_2(g)\rightarrow P_4O_{10}(s)[/tex]

As gas is changing to solid, randomness decreases and thus sign of [tex]\Delta S[/tex] is negative.

e) [tex]C_4H_8(g)+6O_2(g)\rightarrow 4CO_2(g)+4H_2O(g)[/tex]

As 7 moles of reactants are converted to 8 moles of products , randomness increases and thus sign of [tex]\Delta S[/tex] is positive.

f) [tex]I_2(s)\rightarrow I_2(g)[/tex]

As solid is changing to gas, randomness increases and thus sign of [tex]\Delta S[/tex] is positive.