Question : For a spontaneous process
Option 1: ΔG is +ve
Option 2: ΔG is -ve
Option 3: ΔG is equal to zero
Option 4: ΔH is -ve
Correct Answer: ΔG is -ve
Solution : The correct answer is ΔG is -ve.
For a spontaneous process, the change in Gibbs free energy (ΔG) is negative. The Gibbs free energy is a thermodynamic potential that combines enthalpy (ΔH) and entropy (ΔS) in a system. It is described by the equation:
ΔG=ΔH−TΔS
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Question : If $\small 1^{2}+2^{2}+3^{2}+......+\ p^{2}=\frac{p(p+1)(2p+1)}{6}$, then $\small 1^{2}+3^{2}+5^{2}+......+17^{2}$ is equal to:
Option 1: 1785
Option 2: 1700
Option 3: 980
Option 4: 969
Question : Directions: Eight friends A, B, C, D, E, F, G, and H are sitting in a straight line, all facing North. F is sitting between D and G. B is sitting between H and A. E is third to the left of G, who is sitting at one of the corners. H is third to the left of C. Who is sitting between A and E?
Option 1: H
Option 2: G
Option 3: B
Option 4: C
Question : If for a non-zero $x$, $3x^{2}+5x+3=0,$ then the value of $x^{3}+\frac{1}{x^{3}}$ is:
Option 1: $\frac{10}{27}$
Option 2: $-\frac{10}{27}$
Option 3: $\frac{2}{3}$
Option 4: $-\frac{2}{3}$
Question : If A : B = 3 : 4 and B : C = 6 : 5, then A : ( A + C) is equal to:
Option 1: 9 : 10
Option 2: 10 : 9
Option 3: 9 : 19
Option 4: 19 : 9
Question : Directions: In the following question, arrange the following words as per their order in the dictionary. 1. Directorial 2. Directory 3. Directive 4. Directional
Option 1: 1, 3, 4, 2
Option 2: 3, 4, 2, 1
Option 3: 3, 4, 1, 2
Option 4: 4, 3, 1, 2
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