For the reaction, $2SO_2 + O_2 <=> 2SO_3, $ the rate of disappearance of $O_2$ is $2 \times 10^{-4} \, mol \, L^{-1} \, s^{-1}$ . The rate of of appearance of $SO_3$ is
For the reaction, $2SO_2 + O_2 <=> 2SO_3, $ the rate of disappearance of $O_2$ is $2 \times 10^{-4} \, mol \, L^{-1} \, s^{-1}$ . The rate of of appearance of $SO_3$ is
$2 \times10^{-4}\, mol\, L^{-1}\,s^{-1}$
$4 \times10^{-4} \, mol\, L^{-1}\,s^{-1}$
$1 \times10^{-4} \,mol\, L^{-1}\,s^{-1}$
$6 \times10^{-4} \,mol\, L^{-1}\,s^{-1}$
The Correct Option is B
Solution and Explanation
$\frac{\Delta [O_2]}{\Delta f} = 2 \times 10^{-4}$ $\frac{[SO_3]}{\Delta t} = 2 \frac{\Delta [O_2]}{\Delta t}$ $ = 2 \times 2 \times 10^{-4}$ $ = 4 \times 10^{-4} \,mol \, l^{-1} s^{-1}$
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Concepts Used:
Projectile
In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula. The informal use of the term formula in science refers to the general construct of a relationship between given quantities.
The plural of formula can be either formulas (from the most common English plural noun form) or, under the influence of scientific Latin, formulae (from the original Latin).[2]
In mathematics, a formula generally refers to an identity which equates one mathematical expression to another, with the most important ones being mathematical theorems. Syntactically, a formula (often referred to as a well-formed formula) is an entity which is constructed using the symbols and formation rules of a given logical language.[3] For example, determining the volume of a sphere requires a significant amount of integral calculus or its geometrical analogue, the method of exhaustion.[4] However, having done this once in terms of some parameter (the radius for example), mathematicians have produced a formula to describe the volume of a sphere in terms of its radius
\(E=mc^{2}\)
In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula. The informal use of the term formula in science refers to the general construct of a relationship between given quantities.
The plural of formula can be either formulas (from the most common English plural noun form) or, under the influence of scientific Latin, formulae (from the original Latin).[2]
In mathematics, a formula generally refers to an identity which equates one mathematical expression to another, with the most important ones being mathematical theorems. Syntactically, a formula (often referred to as a well-formed formula) is an entity which is constructed using the symbols and formation rules of a given logical language.[3] For example, determining the volume of a sphere requires a significant amount of integral calculus or its geometrical analogue, the method of exhaustion.[4] However, having done this once in terms of some parameter (the radius for example), mathematicians have produced a formula to describe the volume of a sphere in terms of its radius:
Formulas Used:
Basic formula
$P = - \frac{xx^T}{x^Tx}$The a3 + b3 formula can be verified, by multiplying (a + b) (a2 - ab + b2) and see whether you get a3 + b3. The a3 + b3 formula or the difference of cubes formula is explained below:
a3 + b3 Formula = a3 + b3 = (a + b) (a2 - ab + b2)
You can remember these signs using the following trick.
Let us learn the a3 + b3 formula with a few solved examples.
Proof of a^3+ b^3 Formula
Let us see the verification of a cube plus b cube formula here. To prove or verify that a3 + b3 = (a + b) (a2 - ab + b2) we need to prove here LHS = RHS. Lets begin with the following steps.
LHS = a3 + b3
On Solving RHS side we get,
= (a + b) (a2 - ab + b2)
On multiplying the a and b separately with (a2 - ab + b2) we get
= a (a2 - ab + b2) + b(a2 - ab + b2)
= a3 - a2b + ab2 + a2b - ab2 + b3
= a3 - a2b + a2b + ab2- ab2 + b3
= a3 - 0 + 0 + b3
= a3 + b3
Hence proved, LHS = RHS
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