
0.1 mole of compound S will weigh ....... g,
(given the molar mass in g mol\(^{-1}\) \( {C} = 12, \, {H} = 1, \, {O} = 16 )\):
- The compound \( S \) is formed by reducing a secondary alcohol (ethanol) to a hydrocarbon (alkane).
- First, ethanol (\( {CH}_3{CH}_2{OH} \)) reacts with chromium trioxide (\( {CrO}_3 \)) to form acetaldehyde (\( {CH}_3{CHO} \)).
- Then, acetaldehyde undergoes reduction by sodium borohydride (\( {NaBH}_4 \)) to form ethanol (\( {CH}_3{CH}_2{OH} \)) again.
- Further, the reaction with Grignard reagent (\( {CH}_3{MgI} \)) and water (\( {H}_2{O} \)) forms a secondary alcohol.
- Since \( S \) is an alcohol, it will have the same molecular weight as ethanol. The molar mass of ethanol (\( {CH}_3{CH}_2{OH} \)) is calculated as: \[ 12 \times 2 + 1 \times 6 + 16 = 46 \, {g/mol} \] For \( 0.1 \) mole of \( S \), the weight is: \[ {Weight of } S = 0.1 \times 46 = 4.6 \, {g} \] Thus, \( 0.1 \) mole of compound S weighs \( 4.6 \) grams.
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.
Consider the following reaction sequence: 
Given: Compound (x) has percentage composition \(76.6%\ \text{C}\), \(6.38%\ \text{H}\) and vapour density \(=47\). Compound (y) develops a characteristic colour with neutral \(\mathrm{FeCl_3}\) solution. Identify the {INCORRECT statement.}
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.