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Standard XII

Physics

Real Gas Equation

For real gase...

Question

For real gases van der Waals' equation is written as $(p + \frac{a n^{2}}{V^{2}}) (V - n b) = n R T$ where a and b are van der Waals' constants. Two sets of gases are
(I) $O_{2}, C O_{2}, H_{2} and H e$
(II) $C H_{4}, O_{2} and H_{2}$
The gases given in set-I in increasing order of b and gases given in set - II in decreasing order of a, are arranged below. Select the correct order from the following:

(I) H e < H_{2} < C O_{2} < O_{2} (I I) C H_{4} > H_{2} O_{2}

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(I) O_{2} < H e < H_{2} < C O_{2} (I I) H_{2} > O_{2} > C H_{4}

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(I) H_{2} < H e < O_{2} < C O_{2} (I I) C H_{4} > O_{2} > H_{2}

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(I) H_{2} < H e < O_{2} < C O_{2} (I I) O_{2} > C H_{4} > H_{2}

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Solution

The correct option is D $(I) H_{2} < H e < O_{2} < C O_{2} (I I) O_{2} > C H_{4} > H_{2}$
van der Waals' gas constant 'a' represent intermolecular forces of attraction of gaseous molecules and van der Waals' gas constant 'b' represent effective size of molecules. Therefore order should be
$(I) H_{2} < H e < O_{2} < C O_{2} (I I) O_{2} > C H_{4} > H_{2}$

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Similar questions

Q. For real gases van der Waals equation is written as

(P + \frac{a n^{2}}{V^{2}}) (V - n b) = n R T

Where 'a' and 'b' are van der Waals constants.
Two sets of gases are :
(I)

O_{2}, C O_{2}, H_{2}

and He (II)

C H_{4}, O_{2} a n d H_{2}

The gases given in set-I in increasing order of 'b' and gases given in set-II in decreasing order of 'a' are arranged below. Select the correct order from the following:

Q. For real gas van der Waals equation is written as:

(p + \frac{a n^{2}}{V^{2}}) (V - n b) = n R T

Where

a

and

b

are van der Waals constants.

Two sets of gases are:

(I) O_{2}, {C O}_{2}, H_{2}

and

H e

(I I) {C H}_{4}, O_{2}

and

H_{2}

The gases given in set-I in increasing order of

^{'} b^{'}

and gases given in set-II in decreasing order of

^{'} a^{'}

are arranged below. Select the correct order from the following:

For real gases the relation between, P, V and T is given by van der Waals' equation

$(P + \frac{a n^{2}}{V^{2}}) (V - n b) = n R T$

where 'a' and 'b' are van der Waals' constants, 'nb' is approximately equal to the total volume of the molecules of a gas. 'a' is the measure of the magnitude of intermolecular attraction.

(i) Arrange the following gases in the increasing order of 'b' Give reason.

$O_{2}, C O_{2}, H_{2}, H e$

(ii) Arrange the following gases in the descending order of magnitude of 'a'. Give reason.

$C H_{4}, O_{2}, H_{2}$

Q. For real gases, the relation between

P, V

and

T

is given by van der Waals equation,

(P + \frac{a n^{2}}{V^{2}}) (V - n b) = n R T

. For the following gases

C H_{4}, C O_{2}, O_{2}, H_{2}

which gas will have (i) highest value of

a

(ii), lowest value of

b

Q. Van der Waals constant

b

in a corrected equation for real gases represents:

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The correct option is D (I) H2<He<O2<CO2 (II) O2>CH4>H2van der Waals' gas constant 'a' represent intermolecular forces of attraction of gaseous molecules and van der Waals' gas constant 'b' represent effective size of molecules. Therefore order should be (I) H2<He<O2<CO2 (II) O2>CH4>H2