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Standard XII

Chemistry

Factors Affecting Rate of Reaction

The decomposi...

Question

The decomposition reaction $X (g) \to 3 Y (g)$ is studied at constant volume and temperature. For pure $X (g)$ as the starting material, the first few readings of the observed total pressure $P$ as a function of time are given below:

Time (min) $0$ $1$ $2$ $4$
Total Pressure $P$ (atm) $8$ $16$ $20$ $P_{1}$

The correct statement(s) assuming ideal gas behaviour is/are ____________.

P_{1}

23 a t m

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The total pressure, on completion of reaction, will be

24 a t m

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The partial pressure of

Y

will exceed that of

X

in less than

1

min

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The partial pressure of

X

and

Y

will be equal when the total pressure is

12 a t m

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Solution

The correct options are
A $P_{1}$ is $23 a t m$
B The total pressure, on completion of reaction, will be $24 a t m$

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Similar questions

Q. At

600^{\circ} C

K_{p}

for the following reaction is 1 atm

X (g) ⇌ Y (g) + Z (g)

. At equilibrium, 50% of X(g) is dissociated. The total pressure of the equilibrium system is P atm. What is the partial pressure (in atm) of X(g) at equilibrium ?

Q. A constant temperature and volume

X

decomposes as,

2 X (g) ⟶ 3 Y (g) + 2 Z (g)

P_{X}

is the partial pressure of

X

Observation No.	Time $(m i n)$	$P_{X} (i n m m H g)$
$1$	$0$	$800$
$2$	$100$	$400$
$3$	$200$	$200$

(i)

What is the order of the reaction with respect to

X

(i i)

Find the rate constant.

(i i i)

Find the time for

75

% completion of the reaction.

(i v)

Find the total pressure when pressure of

X

700

m m

H g

Q. When

P C l_{5}

is heated in a closed container at

575 K

, the total pressure at equilibrium is found to be

1 a t m

and partial pressure of

C l_{2}

is found to be

0.324 a t m

. Calculate the equilibrium constant

(K_{p})

for the decomposition reaction.

Observation No.	Time (in minute)	$P_{x}$ (in mm of Hg)
1	0	800
2	100	400
3	200	200

At constant temperature and volume

X

decomposes as

2 X (g) \to 3 Y (g) + 2 Z (g)

, where

P_{x}

is the partial pressure of

X

. What is the order of reaction with respect to

X

?
(i) Find the rate constant.
(ii) Find the time for 75% completion of the reaction.
(iii) Find total pressure when pressure of

X

is 700 mm of Hg.

P C l_{5}

dissociates as

P C l_{5} (g) ⇌ P C l_{3} (g) + C l_{2} (g) .

If total pressure at equilibrium of the reaction mixture is P and degree of dissociation of

P C l_{5}

is x, the partial pressure of

P C l_{3}

will be:

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Time (min)	$0$	$1$	$2$	$4$
Total Pressure $P$ (atm)	$8$	$16$	$20$	$P_{1}$

The correct options are A P1 is 23 atm B The total pressure, on completion of reaction, will be 24 atm

The correct options are
A $P_{1}$ is $23 a t m$
B The total pressure, on completion of reaction, will be $24 a t m$