Consider the following reaction:
\[ A + NaCl + H_2SO_4 \xrightarrow[\text{Little amount}]{} CrO_2Cl_2 + \text{Side products} \] \[ CrO_2Cl_2(\text{Vapour}) + NaOH \rightarrow B + NaCl + H_2O \] \[ B + H^+ \rightarrow C + H_2O \]
The number of terminal 'O' present in the compound 'C' is ________.
The sequence converts chromyl chloride into a chromate in base and then to dichromate in acid. We are asked to find the number of terminal oxygen atoms in the final species \( C \).
Chromyl chloride, \( \mathrm{CrO_2Cl_2} \), is formed from a dichromate and concentrated acid in presence of a chloride salt. In aqueous base, \( \mathrm{CrO_2Cl_2} \) gives chromate \( \mathrm{CrO_4^{2-}} \); acidification of chromate yields dichromate \( \mathrm{Cr_2O_7^{2-}} \) via condensation with one bridging oxygen between two \( \mathrm{CrO_4} \) tetrahedra:
\[ 2\,\mathrm{CrO_4^{2-}} + 2\,\mathrm{H^+} \longrightarrow \mathrm{Cr_2O_7^{2-}} + \mathrm{H_2O} \]In the dichromate ion, two \( \mathrm{CrO_4} \) tetrahedra share a single bridging oxygen (\(\mathrm{Cr{-}O{-}Cr}\)), leaving the remaining oxygens as terminal (=O) oxygens.
Step 1: Identify reagent \( A \) that produces chromyl chloride in the presence of \( \mathrm{NaCl} \) and \( \mathrm{H_2SO_4} \). Typically, \( A \) is a dichromate such as \( \mathrm{K_2Cr_2O_7} \) or \( \mathrm{Na_2Cr_2O_7} \):
\[ \mathrm{K_2Cr_2O_7} + 4\,\mathrm{NaCl} + 6\,\mathrm{H_2SO_4} \;\xrightarrow[]{}\; 2\,\mathrm{CrO_2Cl_2}\,(\text{vapour}) + \cdots \]Step 2: React \( \mathrm{CrO_2Cl_2} \) with aqueous \( \mathrm{NaOH} \) to form chromate (\( B \)) and chloride:
\[ \mathrm{CrO_2Cl_2} + 4\,\mathrm{NaOH} \longrightarrow \mathrm{Na_2CrO_4}\;(B) + 2\,\mathrm{NaCl} + 2\,\mathrm{H_2O} \]Thus, \( B \equiv \mathrm{CrO_4^{2-}} \) (as \( \mathrm{Na_2CrO_4} \)).
Step 3: Acidify chromate to obtain dichromate (\( C \)) via condensation with loss of water:
\[ 2\,\mathrm{CrO_4^{2-}} + 2\,\mathrm{H^+} \longrightarrow \mathrm{Cr_2O_7^{2-}}\;(C) + \mathrm{H_2O} \]Step 4: Analyze the structure of \( \mathrm{Cr_2O_7^{2-}} \) to count terminal oxygens. Dichromate consists of two \( \mathrm{CrO_4} \) tetrahedra sharing one bridging oxygen (\(\mathrm{Cr{-}O{-}Cr}\)). Out of the 7 oxygens, 1 is bridging; the remaining 6 are terminal (=O) oxygens (three terminal oxygens on each Cr center):
\[ \text{Terminal O in } \mathrm{Cr_2O_7^{2-}} = 7 - 1 = 6 \]The final species \( C \) is \( \mathrm{Cr_2O_7^{2-}} \). It contains one bridging oxygen and hence 6 terminal oxygen atoms.
\( Cr_2O_7^{2-} + HCl + H_2SO_4 \rightarrow CrO_2Cl_2 \)
\( CrO_2Cl_2(vapour) + NaOH \rightarrow Na_2CrO_4 + NaCl + H_2O \)
\( Na_2CrO_4 + H^+ \rightarrow Na_2Cr_2O_7 + H_2O \)
\( 2Na_2CrO_4 + 2H^+ \rightarrow Na_2Cr_2O_7 + 2Na^+ + H_2O \)
\( CrO_4^{2-} \xrightarrow{H^+} Cr_2O_7^{2-} \)
No of terminal "O" = 6
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)

Cobalt chloride when dissolved in water forms pink colored complex $X$ which has octahedral geometry. This solution on treating with cone $HCl$ forms deep blue complex, $\underline{Y}$ which has a $\underline{Z}$ geometry $X, Y$ and $Z$, respectively, are
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)
A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,