Given the reaction: #NaOH(s) + H_2O(l) -> Na^"+"(aq) + OH^"-" (aq) + 10.6 kJ#, the heat of reaction, #ΔH#, is (positive/negative), the entropy, #ΔS#, is (positive/negative) and the reaction is (spontaneous/not spontaneous). Thermochem?

Answer 1

#DeltaH# is negative
#DeltaS# is positive
#DeltaG# must be negative and thus reaction is spontaneous

#NaOH(s)+H_2O(l)->Na(aq)+OH^"-" (aq) +10.6kJ#

This is a dissolving reaction (not balanced).

In this reaction, heat is released (the amount of heat that is released is 10.6kJ). Therefore this reaction is exothermal. An exothermal reaction is a reaction in which the enthalpy of the system is lowered, therefore the #DeltaH<0#. This may seem weird, because of the heat we observe coming from the reaction, but that heat is released from the reacting compounds and therefore not part anymore of the system.
For the entropy, it is important to note that this reaction is a dissolving reaction. The #NaOH (s)# is dissolved in water. This changes the state of the #NaOH# from #(s)# to #(aq)# and therefore, the amount of disorder is increased and thus #DeltaS>0#

To determine whether the reaction is spontaneous, we must look at the Gibbs free energy:

#DeltaG=DeltaH-TxxDeltaS#
We know now that #DeltaH# is negative and #DeltaS# is positive. Let's give #H# the value #x# and #S# the value #y#. Both #x# and #y# are positive. We obtain:
#DeltaG=-x-Txxy# T is the temperature in Kelvin and can therefore not be lower than 0. If we fill in random positive numbers for #x# and #y# and #T#, we can only obtain negative values of #DeltaG#.
#DeltaG<0# #color(blue)("Spontaneous")# #DeltaG=0# #color(blue)("Reversible")# #DeltaG>0# #color(blue)("Not spontaneous")#

Therefore the reaction will be spontaneous.

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Answer 2

The heat of reaction, ΔH, is negative because it releases energy (−10.6 kJ). The entropy, ΔS, is positive because the reaction involves the formation of aqueous ions from a solid and a liquid. Since ΔH is negative and ΔS is positive, the reaction is spontaneous.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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