derivative of a constant


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Significance of Photosynthesis
Photosynthesis is the only process which produces enormous quantities of organic matter for sustaining the life on this globe. It is the only known method of manufacture of organic food from inorganic raw materials. Animals including man are directly or indirectly dependent on photosynthetic plants..
Limitations of Dimensional Analysis
Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the relation connecting two or more ph..
Charles' Law
derivation of chrles s law 273 + t = T (K) and 273 =T 0 which corresponds to 0 o C on absolute temperature scale The volume of a given mass of a gas is directly proportional to the absolute temperature at constant pressure. If V 1 is the volume of a certain mass of gas at temperature T 1 and V 2 is the volume of th..
Proof:
Let F(x) be any anti derivative of f(x) Similarly we know the Where C is constant of integration. (2) Two indefinite integrals with the same derivative lead to the same family of curves and so they are equivale..
Comparison between differentiation and integration
1. Both are operations on functions. 2. Both are linear. This is because of the following: (i) (ii) The constant can be taken outside the differential as well as integral sign as shown below: 3. We heve already seen that not all functions are differentiable. Similarly, all functions are n..
Degree of ionization
derivation of degree of ionization The equilibrium concentration of various species at equilibrium can be represented in terms of degree of ionization as: Then according to law of mass action, ..
Ideal Gas Equation
Charles law Ideal Gas Equation - By combining Boyle's and Charles' laws, an equation can be derived that gives the simultaneous effect of the changes of pressure and temperature on the volume of the gas. This is known as combined Ideal Gas Equation. A simple and direct method of deriving th..
Stefan-Boltzmann Law
Stefan-Boltzmann Law - The energy of thermal radiation emitted per unit time by a black body of surface A, is given by u = s AT 2 -----(1) where s is a universal constant known as Stefan-Boltzmann constant and T is its temperature on absolute scale. The measured value of s is 5...
Statement
m ). Molar volume of all gases under normal pressures (1 atm) and normal temperature (273K) have a value of 22.4 litre and contains 6.023 x 10 2 3 molecules. The number is called the Avogadro's number or Avogadro's constant and is denoted by N A . Avogadro's law is very useful in chemi..
Ionization of a base (weak)
The ionization of a weak base is characterized by the equilibrium, If 'n' moles of the base are dissolved in 'V' units of volume (litres L) and a is the degree of ionization, then the equilibrium amounts of various species and the concentration in moles per litre in the solution are, where '..
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