In which of the following processes entropy increases?
A. A liquid evaporates to vapour.
B. Temperature of a crystalline solid lowered from 130 K to 0 K.
C. 2NaHCO3(s) → Na2CO3(s) + CO2(g) + H2O(g)
D. Cl2(g) → 2Cl(g)
Choose the correct answer from the options given below:
Explanation:
Entropy (ΔS) is a measure of disorder or randomness in a system. Entropy increases when there is an increase in disorder.
A. A liquid evaporates to vapour.
When a liquid evaporates, it changes to a gaseous state, which has higher disorder than a liquid. Therefore, entropy increases. (ΔS > 0)
B. Temperature of a crystalline solid lowered from 130 K to 0 K.
As the temperature of a crystalline solid is lowered, the particles become more ordered, reducing entropy. (ΔS < 0)
C. 2NaHCO3(s) → Na2CO3(s) + CO2(g) + H2O(g)
In this reaction, a solid reactant decomposes into a solid and gaseous products. Gases have much higher disorder than solids, so entropy increases. (ΔS > 0)
D. Cl2(g) → 2Cl(g)
A diatomic molecule dissociates into two individual gaseous atoms, which increases the number of particles and disorder. Therefore, entropy increases. (ΔS > 0)
Conclusion:
The processes where entropy increases are A, C, and D
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The potential (V) at any axial point, at 2 m distance(r) from the centre of the dipole of dipole moment vector
\(\vec{P}\) of magnitude, 4 × 10-6 C m, is ± 9 × 103 V.
(Take \(\frac{1}{4\pi\epsilon_0}=9\times10^9\) SI units)
Reason R : \(V=±\frac{2P}{4\pi \epsilon_0r^2}\), where r is the distance of any axial point, situated at 2 m from the centre of the dipole.
In the light of the above statements, choose the correct answer from the options given below :
The output (Y) of the given logic gate is similar to the output of an/a :