For the first order consecutive reaction : Which of the following statement is incorrect ?
[B] is always greater than [C]
In a consecutive first-order scheme the intermediate B is formed from A and consumed to give C, so each species has a characteristic time profile. The question asks which description does not match.
"[B] is always greater than [C]" is the incorrect statement. B is an intermediate: it starts at zero, rises to a maximum, then falls back towards zero as it is converted onward. C is the final product: it starts at zero and rises monotonically towards the full initial amount of A. The two curves must therefore cross. At long times essentially all the material ends up as C while B has been consumed, so [C] greatly exceeds [B]. The claim holds only in the earliest part of the reaction, never "always".
"[A] decreases exponentially with time" is correct. A is consumed by a simple first-order step unaffected by anything downstream, so \([A] = [A]_0 e^{-k_1 t}\).
"[C] increases with an inverse exponential function" is correct in the sense meant — C follows a rising, saturating curve of the form \(1 - e^{-kt}\) terms, approaching \([A]_0\) asymptotically. Its curve is also sigmoidal at early times, showing an induction period while B accumulates.
"tmax depends on K1 and K2" is correct. Setting \(\frac{d[B]}{dt} = 0\) gives \(t_{max} = \frac{\ln(k_2/k_1)}{k_2 - k_1}\), which manifestly involves both rate constants.
Hence the incorrect statement is that [B] is always greater than [C].
The property measured in derivative thermogravimetric analysis (DTG) is :
Analysis of four different samples of an alloy yielded 12.12, 12.14, 12.10 and 12.22% of metal. The mean deviation of the result is :
A given reaction is fitted into the following Arrhenius form :
K2 = 6.0 × 1014 (S-1) . exp \(\left[-\frac{104.4\ (\mathrm{kJ\,mol^{-1}})}{RT}\right]\)
Value of the rate constant at very high temperature would be :
E° value for various ions are as follows :
E°(MnO4-) = +1.51 V
E°(Ag/Ag+) = +0.7996 V
E°(Au/Au+) = +1.692 V
E°(Zn/Zn2+) = -0.761 V
Based on this data, permaganate can be used to oxidize :
Vapour pressure of 0.5 molal solution of non-volatile solute in organic solvent at 30°C would be :
(Given : vapour pressure of pure organic solvent is 100 torr; the molecular weight of organic solvent is 100 g mol-1).
The following half cell represents, normal hydrogen electrode (NHE) :
If, we discharge the electrochemical cell rapidly, then :
Consider the reaction :
H2S(g) + \(\tfrac{3}{2}\) O2(g) → SO2(g) + H2O(g), ΔH° = 518.62 kJ
What is the effect of increase of temperature and pressure on the reaction ?
The number of microstates of distributing five quanta of energy among four distinguishable particles is :
The variation of Cp with pressure at constant temperature is given by :
Choose the Incorrect Statement:
1 For a system at equilibrium, chemical potential is same in all phases.
2 Gibb's free energy change is zero at equilibrium state of a system.
3 Gibb's free energy change is positive for reaction to occur spontaneously.
4 $\Delta G$ will become more negative with increasing temperature.
Melting Point of pure ice is-
Which one among the following statements with reference to the properties of water is not correct?