1
JEE Main 2023 (Online) 6th April Morning Shift
+4
-1 For a concentrated solution of a weak electrolyte ($$\mathrm{K}_{\text {eq }}=$$ equilibrium constant) $$\mathrm{A}_{2} \mathrm{B}_{3}$$ of concentration '$$c$$', the degree of dissociation '$$\alpha$$' is :

A
$$\left(\frac{K_{e q}}{25 c^{2}}\right)^{\frac{1}{5}}$$
B
$$\left(\frac{K_{e q}}{108 c^{4}}\right)^{\frac{1}{5}}$$
C
$$\left(\frac{K_{e q}}{5 c^{4}}\right)^{\frac{1}{5}}$$
D
$$\left(\frac{K_{e q}}{6 c^{5}}\right)^{\frac{1}{5}}$$
2
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

The equilibrium constant for the reversible reaction

2A(g) $$\rightleftharpoons$$ 2B(g) + C(g) is K1

$${3 \over 2}$$A(g) $$\rightleftharpoons$$ $${3 \over 2}$$B(g) + $${3 \over 4}$$C(g) is K2.

K1 and K2 are related as :

A
$${K_1} = \sqrt {{K_2}}$$
B
$${K_2} = \sqrt {{K_1}}$$
C
$${K_2} = K_1^{3/4}$$
D
$${K_1} = K_2^{3/4}$$
3
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1 4.0 moles of argon and 5.0 moles of PCl5 are introduced into an evacuated flask of 100 litre capacity at 610 K. The system is allowed to equilibrate. At equilibrium, the total pressure of mixture was found to be 6.0 atm. The Kp for the reaction is :

[Given : R = 0.082 L atm K$$-$$1 mol$$-$$1]

A
2.25
B
6.24
C
12.13
D
15.24
4
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1 For a reaction at equilibrium

A(g) $$\rightleftharpoons$$ B(g) + $${1 \over 2}$$ C(g)

the relation between dissociation constant (K), degree of dissociation ($$\alpha$$) and equilibrium pressure (p) is given by :

A
$$K = {{{\alpha ^{{1 \over 2}}}{p^{{3 \over 2}}}} \over {{{\left( {1 + {3 \over 2}\alpha } \right)}^{{1 \over 2}}}(1 - \alpha )}}$$
B
$$K = {{{\alpha ^{{3 \over 2}}}{p^{{1 \over 2}}}} \over {{{\left( {2 + \alpha } \right)}^{{1 \over 2}}}(1 - \alpha )}}$$
C
$$K = {{{{(\alpha \,p)}^{{3 \over 2}}}} \over {{{\left( {1 + {3 \over 2}\alpha } \right)}^{{1 \over 2}}}(1 - \alpha )}}$$
D
$$K = {{{{(\alpha \,p)}^{{3 \over 2}}}} \over {{{\left( {1 + \alpha } \right)}}{{(1 - \alpha )}^{{1 \over 2}}}}}$$
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