Styrene undergoes the following sequence of reactions Molar mass of product (P) is:
Concept: This reaction sequence involves: • Addition of \(Br_2\) across the double bond • Double dehydrohalogenation forming an alkyne • Alkylation using \(CH_3I\) • Partial reduction of alkyne using \(Na/NH_3\)
Step 1: Addition of bromine Styrene reacts with \(Br_2/CCl_4\) giving vicinal dibromide. \[ Ph{-}CH=CH_2 \xrightarrow{Br_2} Ph{-}CHBr{-}CH_2Br \]
Step 2: Elimination with \(NaNH_2\) Excess \(NaNH_2\) removes two molecules of HBr producing a terminal alkyne. \[ Ph{-}CHBr{-}CH_2Br \xrightarrow{NaNH_2} Ph{-}C\equiv CH \]
Step 3: Alkylation Terminal alkyne reacts with \(CH_3I\) via \(S_N2\) reaction. \[ Ph{-}C\equiv CH \xrightarrow{CH_3I} Ph{-}C\equiv C{-}CH_3 \]
Step 4: Reduction Dissolving metal reduction \(Na/liq.NH_3\) converts alkyne to trans-alkene. \[ Ph{-}C\equiv C{-}CH_3 \xrightarrow{Na/NH_3} Ph{-}CH=CH{-}CH_3 \] Thus final product: \[ P = C_{10}H_{10} \]
Step 5: Calculate molar mass \[ M = (10 \times 12) + (10 \times 1) \] \[ M = 120 + 10 = 130 \] But considering the final structure obtained after reduction corresponds to \(C_9H_{10}\): \[ M = (9 \times 12) + (10 \times 1) \] \[ M = 108 + 10 = 118 \] \[ \boxed{\text{Molar mass of } P = 118} \]
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,