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Law of reciprocal proportion - class-XI

Description: law of reciprocal proportion
Number of Questions: 21
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Tags: chemistry some basic concepts of chemistry basic concepts of chemistry
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One part of an element (A) combines with two parts of another element (B). Six parts of element (C) combines with 4 parts of (B). If (A) and (C) combine together, then the ratio of their weights will be governed by:

  1. law of definite proportion

  2. law of multiple proportion

  3. law of reciprocal proportion

  4. law of conservation of mass


Correct Option: C
Explanation:

Law of reciprocal proportion states that when two different elements combine separately with the same weight of a third element, the ratio of the masses in which they do so will be the same or some simple multiple of the mass ratio in which they combine with each other.

Different proportions of oxygen in the various oxides of nitrogen, prove the law of:

  1. reciprocal proportions

  2. multiple proportions

  3. constant proportions

  4. conservation of mass


Correct Option: B
Explanation:

Different proportion of oxygen in the various oxides of nitrogen proves the law of multiple proportions, which states:

when two elements combine in more than one proportion to form one or more compounds, the weight of one element that combine with the given weight of other elements are in the ratio of small whole number.


Which one of the following sets of compound correctly illustrates the law of reciprocal proportions?

  1. $P _2O _3, PH _3, H _2O$

  2. $P _2O _5, PH _3, H _2O$

  3. $N _2O _5, NH _3, H _2O$

  4. $N _2O, NH _3, H _2O$

  5. $NO _2, NH _3, H _2O$


Correct Option: B
Explanation:

In $PH _3$, the ratio by weight of $P:H=31:3$

For $H _2O, O:H= 16:2=8:1$
Keeping the weight of $H(=1)$ fixed, $P:O=\cfrac {31}{3}:\cfrac {8}{1}=31:24\longrightarrow (1)$
In $P _2O _5, P:O$ is $(2 \times 31):(5 \times 16)$
$=62:80$ or $31:40 \longrightarrow (2)$
Keeping the weight of $P(=31)$ fixed in equation (1) & (2), the ratio of oxygen is $24:40$ or $3:5$ which is a simple ratio.

One of the following combinations illustrates the law of reciprocal proportion-

  1. ${N _2}{O _3},{N _2}{O _4}{N _2}{O _5}$

  2. $PaCI,NaBr,NaI$

  3. $N{S _2},C{O _2},S{O _2}$

  4. $P{H _3},{P _2}{O _3},{P _2}{O _5}$


Correct Option: A

$H _2S$ contains $94.11\%$ sulphur; $SO _2$ contains $50\%$ oxygen and $H _2O$ contains $11.11\%$ hydrogen. Thus :

  1. law of multiple proportions is followed.

  2. law of reciprocal proportions is followed.

  3. law of conservation of mass is followed.

  4. all of the above are followed


Correct Option: B
Explanation:

The Law of Multiple Proportions : It was given by Dalton. When one element combines with the other element to form two or more different compounds, the mass of one elements, which combines with a constant mass of the other, bear a simple ratio to one another.
$N _2O, NO, NO _2$
The law of reciprocal proportions states that, when two different elements separately combine with a fixed mass of a third element, the proportions in which they combine with one another shall be either in the same ratio or some multiple of it. For example, sulphur and carbon both form compounds with hydrogen. In methane 12g of carbon react with 4g of hydrogen. In hydrogen sulphide, 32g of sulphur react with 2g of hydrogen (i.e. 64g of S for 4g of hydrogen). Sulphur and carbon form a compound in which the C: S ratio is 12:64 (i.e. $CS _2$).

Which of the following statements are correct?

  1. French chemist A. Lavoisier is called the father of chemistry and proposed the law of conservation of mass.

  2. French chemist Joseph Proust proposed the law of definite proportions.

  3. Dalton proposed the law of multiple proportions.

  4. Richter proposed the law of reciprocal proportions.


Correct Option: A,B,C,D
Explanation:

A) French chemist A. Lavoisier is called the father of chemistry and proposed the law of conservation of mass. (True)

B) French chemist Joseph Proust proposed the law of definite proportions. (True)The Law of Definite proportions, states that a chemical compound always contains exactly the same proportion of elements by mass.

C) Dalton proposed the law of multiple proportions. (True)John Dalton (1803) stated, "'When two elements combine with each other to form two or more compounds, the ratios of the masses of one element that combines with the fixed mass of the other are simple whole numbers.

D) Richter proposed the law of reciprocal proportions. (True)(The law of reciprocal proportions was proposed by Jeremias Richter in 1792. It states that "If two different elements combine separately with the same weight of a third element, the ratio of the masses in which they do so are either the same or a simple multiple of the mass ratio in which they combine".

12 g of $\displaystyle X _{2}O _{5}$ an oxide of element X contains 7.2 g of X. How many moles of X does 7.2 g of the element contain ?

  1. 6

  2. 0.5

  3. 0.12

  4. 4.5


Correct Option: C

The weight ratio of two elements A and B which combine with the fixed weight of C separately is either the same or some simple whole number multiple of the weight ratio in which A and B combine together. This statement explains :

  1. law of multiple proportion.

  2. law of reciprocal proportion.

  3. law of conservation of mass.

  4. law of constant composition.


Correct Option: B
Explanation:

The weight ratio of two elements A and B which combine with the fixed weight of C separately is either the same or some simple whole number multiple of the weight ratio in which A and B combine together. This statement explains the Law of reciprocal proportion.
For example, 23 g of $Na$ combines with 35.5 g of $Cl$ and 1 g of $H$ to form $NaCl$ and $NaH$. Hence, 35.5 g of $Cl$ and 1 g of $H$ will combine to form $HCl$.

Lead form 2 oxides. the two oxides were subjected to reduction with carbon separately:


Oxide 1: Original mass: 8.92 gm
               Loss in mass: 0.64 gm

Oxide 1: Original mass: 119.5 gm
               Loss in mass: 16 gm

The data illustrates:

  1. Law of multiple proportion

  2. Law of constant composition

  3. Law of variable proportion

  4. Law of reciprocal proportion


Correct Option: B
Explanation:

In experiment $A-$ Oxide of $Pb=8.92g$


Mass of $Pb$ after reduction $=8.92g-0.64g=8.28g$


Ratio of oxide of $Pb$ to $Pb=\cfrac{8.92}{8.28}=\cfrac{1.077}{1}$

In experiment $B-$ Oxide of $Pb=119.5g$

After reduction, $Pb=119.5-16=103.5g$

Ratio of oxide of $Pb$ to $Pb=\cfrac{119.5}{103.5}=\cfrac{1.15}{1}$

The data illustrates the law of constant proportion.


Hence, the correct option is $\text{B}$

Law of reciprocal proportion was proposed by:

  1. Antoine Lavoisier

  2. Jeremias Ritcher

  3. James Rutherford

  4. John Dalton


Correct Option: B
Explanation:

Law of reciprocal proportion was proposed by J. Richter according to which If two different elements combine separately with the same weight of a third element, the ratio of the masses in which they do so are either the same or a simple multiple of the mass ratio in which they combine.

"Law of Reciprocal Proportion" is also known as:

  1. Law of Equivalent Proportion

  2. Law of Multiple Proportions

  3. Law of Permanent Ratios

  4. Law of Proportion


Correct Option: A,C
Explanation:

Law of Equivalent Proportion and Law of Permanent Ratios are the other names for the Law of Reciprocal Proportion.

Two volumes of ammonia, on dissociation gave one volume of nitrogen and three volumes of hydrogen. How much hydrogen will be obtained from dissociation of $40 \,mL\, of\, NH _3$ ? 

  1. 60

  2. 40

  3. 80

  4. 50


Correct Option: A
Explanation:

Its easy as $NH _3 : N _2 : H _2$ IS 2:1:3 As $NH _3$ is 40 ml hence form 60 ml of h2 and 20 ml of n2

so the answer is A

Which one of the following sets of compounds correctly illustrate the law of reciprocal proportions.

  1. $P _{2}O _{3}, PH _{3}, H _{2}O$

  2. $P _{2}O _{5}, PH _{3}, H _{2}O$

  3. $N _{2}O _{5}, NH _{3}, H _{2}O$

  4. $N _{2}O, NH _{3}, H _{2}O$

  5. $NO _{2}, NH _{3}, H _{2}O$


Correct Option: A
Explanation:

Law of Reciprocal proportions:-

When two different elements combine with the same mass of a $3^{rd}$ element, the ratio of masses in which they do so must be same or multiple of the mass ratio in which they combine with each other.
$A)$ $P _2O _3,PH,H _2O$
The ratio of phosphorous combining with oxygen in $P _2O _3$ is 
$P:O=62:48=31:24$
The ratio of Phosphorous combining with hydrogen in $PH _3$ is
$P:H=31:3$
The ratio of hydrogen combining with oxygen in $H _2O$ is 
$H:O=2:16=1:8$       $\longrightarrow 1$
Now, the ratio of hydrogen & oxygen combining with $P$
$\Rightarrow 3:24=1:8$     $\longrightarrow 2$
From $1$ & $2$,  $1:8$ is same in both cases
$\therefore$ Law of reciprocal proportions is illustrated correctly.

Law of reciprocal proportions is also called :

  1. The law of equivalent proportions

  2. Law of permanent ratios

  3. Law of gaseous volume

  4. All of the above


Correct Option: A,B
Explanation:

Law of reciprocal proportions is also called as the law of equivalent proportions and law of permanent ratios.

$A$ g of sulphur and $ B$ g of oxygen are allowed to react to form $SO _2 $. What will be the ratio of $ A:B$ ?

  1. $1:1$

  2. $1:2$

  3. $1:3$

  4. $1:4$


Correct Option: A
Explanation:
$S\left( 32ℊ \right) +{ O } _{ 2 }\left( \left( 16\times 2 \right) ℊ \right) \longrightarrow S{ O } _{ 2 }$
$\Rightarrow $Ratio of A and B is $1:1$

7.95 gm oxide of copper on reaction with hydrogen shows a mass loss and the residue obtained weighs 6.35 gm. In another experiment, 19.05 gm of copper was dissolved in nitric acid and the copper nitrate produced was converted to oxide weighing 23.85 gm. This data illustrates:

  1. Law of multiple proportion

  2. Law of mass conservation

  3. Law of reciprocal proportion

  4. Law of constant proportion


Correct Option: D
Explanation:

The ratio of Masses of oxide of $Cu$ to $Cu$,

In experiment $A=\cfrac{7.95}{6.35}=1.25$
In experiment $B=\cfrac{23.85}{19.05}=1.22$
It shows the law of constant proportion.

The law of reciprocal proportions was proposed by :

  1. Jeremias Richter

  2. Joseph proust

  3. Joseph louis

  4. Antoine


Correct Option: A
Explanation:

Jeremias Richter (Jeremias Benjamin Richter) was a German chemist. He proposed the law of Reciprocal proportions in $1792$.

Which of the following sets of compounds correctly illustrate the law of reciprocal proportion ?

  1. $N _2O,NH _3,SO _2$

  2. $P _2O _5,PH _3,H _2O$

  3. $NO _2,NH _3,SO _3$

  4. None of these


Correct Option: B
Explanation:

The law of reciprocal proportions is one of the basic laws of stoichiometry. It relates the proportions in which elements combine across a number of different elements. A simple statement of the law is:

 Element A combines with element B and also with C, then, if B and C combine together, the proportion by weight in which they do so will be simply related to the weights of B and C which separately combine with a constant weight of A.

Hydrogen combines with Oxygen to form ${ H } _{ 2 }O$

$2:16\\ 1:8$

Phosphorous combines with Oxygen to form ${ P } _{ 2 }O _{ 5 }$

$62:80\\ 31:40\\ $

Phosphorous combines with Hydrogen to form $P{ H } _{ 5 }$

$31:5\\ \cfrac { 31 }{ 40 } \times \cfrac { 8 }{ 1 } =\cfrac { 31 }{ 5 } $

Two oxides of metal contain $27.6$% and $30$% of oxygen respectively. if the first one is $M _3O _4$ then which of the following will be the other one?

  1. $M _3O _3$

  2. $M _2O _3$

  3. $M _4O _2$

  4. $M _1O _3$


Correct Option: B
Explanation:
Given, ${ M } _{ 3 }{ O } _{ 4 }$; Let mass of the metal$=x$
% of metal in ${ M } _{ 3 }{ O } _{ 4 }=\cfrac { 3x }{ 3x+64 } \times 100$
But as given % age$=\left( 100-27.6 \right) =72.4$
So, $\left( \cfrac { 3x }{ 3x+64 }  \right) \times 100=72.4$
$\Rightarrow x=56$
In 2nd oxide, oxygen$=30$%, So metal$=70$%
So, the ratio is $M:O$
$\cfrac { 70 }{ 56 } :\cfrac { 30 }{ 16 } $
$1.25:1.875$
$2:3\Rightarrow $ oxide is ${ M } _{ 2 }{ O } _{ 3 }$

$CO _2$ contains $27.27$% of carbon,$CS _2$ contains $15.79$% of carbon,$SO _2$ contains $50$% sulphur. What will be the ratio of $S:O$ in $SO _2$?

  1. $1:1$

  2. $1:2$

  3. $2:1$

  4. $3:2$


Correct Option: A

Gases react in a simple whole number ratio of volume

  1. True

  2. False


Correct Option: A
Explanation:

According to Gay-Lussac's Law, the ratio between the volumes of reactants and products can be expressed in simple whole numbers.

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