The Gibbs energy for the decomposition of Al2O3 at 500∘C is as follows: 32Al2O3→34Al+O2,ΔrG=+966kJ mol−1 The potential difference needed for electrolytic reduction of Al2O3 at 500∘C is at least
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The pKa of a weak acid, HA, is 4.80. The pKb of a weak base, BOH, is 4.78. The pH of an aqueous solution of the corresponding salt, BA, will be
The sum of the series 2!1−3!1+4!1−… upto infinity is
The statement pqpis equivalent to
The dimension of magnetic field in M, L, T and C (Coulomb) is given as
∫0π[cotx]dx, where [.] denotes the greatest integerfunction, is equal to
If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then. Which of the following does not change with time ?
The projections of a vector on the three coordinate axis are 6,3,2 respectively. The direction cosines of the vector are(A) 6,−3,2 (B) 56,5−3,52 (C) 76,7−3,72 (D) 7−6,7−3,72
The bond dissociation energy of B−F in BF3 is 646kJmol−1 whereas that of C−F in CF4 is 515kJmol−1. The correct reason for higher B-F bond dissociation energy as compared to that of C−F is