The resistivity of a $0.8 M$ solution of an electrolyte is $5 \times 10^{-3} \Omega cm$ Its molar conductivity is ____ $\times 10^4\, \Omega^{-1}\, cm ^2 \,mol ^{-1}$
A trisubstituted compound ‘A’, \(\text{C}_{10}\text{H}_{12}\text{O}_2\), gives neutral FeCl\(_3\) test positive. Treatment of compound ‘A’ with NaOH and CH\(_3\)Br gives \(\text{C}_{11}\text{H}_{14}\text{O}_2\), with hydroiodic acid gives methyl iodide, and with hot conc. NaOH gives a compound ‘B’, \(\text{C}_{10}\text{H}_{10}\text{O}_2\). Compound ‘A’ also decolourises alkaline KMnO\(_4\). The number of \(\pi\)-bond/s present in the compound ‘A’ is ______.
A solution containing 2 g of a non-volatile solute in 20 g of water boils at 373.52 K. The molecular mass of the solute is ------- g mol\(^{-1}\) (Nearest integer).Given: Water boils at 373 K, \(K_b\) for water = 0.52 K kg mol\(^{-1}\).
Consider the cell:\[\text{Pt(s)}|\text{H}_2(g, 1\,\text{atm})|\text{H}^+(aq, 1\,\text{M})||\text{Fe}^{3+}(aq), \text{Fe}^{2+}(aq)||\text{Pt(s)}.\]When the potential of the cell is 0.712 V at 298 K, the ratio \([\text{Fe}^{2+}]/[\text{Fe}^{3+}]\) is ____ (Nearest integer).
The energy of one mole of photons of radiation of frequency 2 \(\times\)1012 Hz in Jmol-1 is ________ (Nearest integer)
[Given : \(h=6.626\times10^{-34}Js\)
\(N_{A}=6.022\times10^{23}mol^{-1}\)]
600 mL of 0.01M HCl is mixed with 400 mL of 0.01 M H2SO4 .The pH of the mixture is ______ × 10-2 (Nearest integer) [Given log 2 =0.30 , log 3 =0.48 log 5 =0.69 log 7 -0.84 log 11 =1.04 ]
If compound A reacts with B following first-order kinetics with rate constant \(2.011 \times 10^{-3} \, \text{s}^{-1}\), the time taken by A (in seconds) to reduce from 7 g to 2 g will be ------- (Nearest Integer).Given: \[\log 5 = 0.698, \, \log 7 = 0.845, \, \log 2 = 0.301.\]
\(Pt(s) ∣ H2(g)(1atm) ∣ H+(aq, [H+]=1)\, ∥\, Fe3+(aq), Fe2+(aq) ∣ Pt(s)\)Given\( E^∘_{Fe^{3+}Fe^{2+}}\)\(=0.771V\) and \(E^∘_{H^{+1/2}H_2}=0\,V,T=298K\)If the potential of the cell is 0.712V, the ratio of concentration of \(Fe2+\) to \(Fe3+\) is