The freezing point of an aqueous solution containing 23 g of \(C _2 H _5 OH\) in 1000 g of water, is
(Given \(K_f\) for water \(\left.=1.86 K kg mol ^{-1}\right)\)

Electrolysis of molten \(NaCl\) gives :

Two isomeric compounds, A: \([\text{Co}(\text{NH}_3)_5\text{Cl}]\text{SO}_4\) and B: \([\text{Co}(\text{NH}_3)_5(\text{SO}_4)]\text{Cl}\)
can be distinguished using which of the following?

The correct bond order for the carbon-oxygen bond in the following metal carbonyls \(\left[ Cr ( CO )_6\right],\left[ V ( CO )_6\right]^{-},\left[ Mn ( CO )_6\right]^{+}\)is:

Which of the following reactions are disproportionation reactions?
(A) \(2\text{Cu}^+ \rightarrow \text{Cu}^{2+} + \text{Cu}\)
(B) \(3\text{MnO}_4^{2-} + 4\text{H}^+ \rightarrow 2\text{MnO}_4^- + \text{MnO}_2 + 2\text{H}_2\text{O}\)
(C) \(2\text{KMnO}_4 \rightarrow \text{K}_2\text{MnO}_4 + \text{MnO}_2 + \text{O}_2\)
(D) \(2\text{MnO}_4^- + 3\text{Mn}^{2+} + 2\text{H}_2\text{O} \rightarrow 5\text{MnO}_2 + 4\text{H}^+\)
Choose the correct answer from the options given below:"

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Alcohols and phenols are formed when a hydrogen atom in a hydrocarbon, aliphatic and aromatic respectively is replaced by - OH group. These are further classified on the basis of number of hydroxy groups and according to the hybridization of the carbon atom \(sp ^2\) or \(sp ^3\) to which the -OH group is attached. They find applications in industry as well as in day-to-day life. One of the most commercially obtained alcohol also known as wood spirit is obtained by destructive distillation of wood. Both alcohols and phenols are acidic in nature. The acidity of alcohols and phenols vary according to the nature of substituent(s) attached to them. Alcohols and phenols react with carboxylic acids, acid chlorides and acid anhydrides to form esters. Introduction of acetyl group in alcohols and phenols is called acetylation. Phenol undergo electrophilic aromatic substitution reaction because the -OH activates the benzene ring. It undergoes nitration, halogenation and sulphonation reactions.
The final product of the following reaction is:

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The coordination compounds are of great importance. These compounds are widely present in the mineral, plants and animal world and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine. For example, coordination compounds find use in many qualitative and quantitative chemical analysis. Some important metal extraction and purification make use of complex formation. Hardness of water can be estimated by stable complex formation of Ca\(^{2+}\) and Mg\(^{2+}\)
Impure nickel is converted to which of its complex to be decomposed to yield pure nickel?

In an intrinsic semiconductor at room temperature ;

Arrange the metal ions of the following compounds in increasing order of oxidation number :
(A) \(\text{TiCl}_3\)
(B) \(\text{CrF}_6\)
(C) \(\text{ZnO}\)
(D) \(\text{Mn}_2\text{O}_7\)
Choose the correct answer from the options given below :

The probability that A speaks the truth is \(4 / 5\). A coin is tossed and A reports 'Heads'. The probability that it actually showed 'Heads' is :

Rusting occurs in the presence of water and air.

The rate of change of volume of a sphere with respect to its surface area, when the radius is 6 cm is:

If \(A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]\) and \(B=\left[\begin{array}{cc}1 & -2 \\ 1 & 3\end{array}\right]\), then which of the following are incorrect?
(A) \(|A|=5\)
(B) \(\operatorname{Adj} A=\left[\begin{array}{ll}4 & 3 \\ 1 & 2\end{array}\right]\)
(C) \(A(\operatorname{Adj} A)=25 I\)
(D) \(|3 B|=45\)
(E) \((A B)^{-1}=B^{-1} A^{-1}\)
Choose the correct answer from the options given below: