Δs is positive for the reaction ________.
a.2no (g) + o2 (g) → 2no2 (g)
b.2n2 (g) + 3h2 (g) → 2nh3 (g)
c.c3h8 (g) + 5 o2 (g) → 3co2 (g) + 4 h2o (g)
d.mg (s) + cl2 (g) → mgcl2 (s)
e.c2h4 (g) + h2 (g) → c2h6 (g)

Respuesta :

C. The reaction goes from one of less moles to more causing it to be more disordered and therefore have a positive change in s

Answer: Option (c) is the correct answer.

Explanation:

Entropy means the degree of randomness present in a substance or within the reactants in a chemical reaction.

Change in entropy is represented by [tex]\Delta S[/tex]. More is the degree of randomness present more positive will be the value of [tex]\Delta S[/tex]. Similarly, less is the degree of randomness present within a substance lesser will be the value of [tex]\Delta S[/tex].

(a)    [tex]2NO(g) + O_{2}(g) \rightarrow 2NO_{2}(g)[/tex]

Here, 3 moles of reactants are giving 2 moles of product. Hence, entropy is decreasing so, the value of [tex]\Delta S[/tex] is negative.

(b)   [tex]2N_{2}(g) + 3H_{2}(g) \rightarrow 2NH_{3}(g)[/tex]

Here, 5 moles of reactants are giving 2 moles of product.  Hence, entropy is decreasing so, the value of [tex]\Delta S[/tex] is negative.

(c)   [tex]C_{3}H_{8}(g) + 5O_{2}(g) \rightarrow 3CO_{2}(g) + 4H_{2}O(g)[/tex]

Here, 6 moles of reactants are giving 7 moles of product.  Hence, entropy is increasing so, the value of [tex]\Delta S[/tex] is positive.

(d) [tex]Mg(s) + Cl_{2}(g) \rightarrow MgCl_{2}(s)[/tex]

Here, 2 moles of reactants are giving 1 mole of product.  Hence, entropy is decreasing so, the value of [tex]\Delta S[/tex] is negative.

(e)  [tex]C_{2}H_{4}(g) + H_{2}(g) \rightarrow C_{2}H_{6}(g)[/tex]

Here, 2 moles of reactants are giving 1 mole of product.  Hence, entropy is decreasing so, the value of [tex]\Delta S[/tex] is negative.

Thus, we can conclude that [tex]\Delta S[/tex] is positive for the reaction [tex]C_{3}H_{8}(g) + 5O_{2}(g) \rightarrow 3CO_{2}(g) + 4H_{2}O(g)[/tex].