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Important Questions on Linear Inequalities

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The moment of inertia of a ring about an axis passing through the centre and perpendicular to its plane is

I

. It is rotating with angular velocity

ω.

Another identical ring is gently placed on it so that their centres coincide. If both the rings are rotating about the same axis then loss in kinetic energy is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The correct thermodynamic conditions for the spontaneous reaction at all temperatures is:

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

A particle of mass

10 g

moves along a circle of radius

6.4 cm

with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to

8 \times 10^{- 4} J

by the end of the second revolution after the beginning of the motion?

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

A disc of radius

2 m

and mass

100 k g

rolls on a horizontal floor. Its centre of mass has speed of

20 c m s^{- 1} .

How much work is needed to stop it?

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

ΔH and ΔS for the reaction

{Ag}_{2} O_{(s)} ⟶ 2 {Ag}_{(s)} + 1 / 2 O_{2 (g)}

are 30.56 kJ mol^-1 and 66.00 JK^-1 mol^-1 respectively. The temperature at which the free energy change for the reaction will be zero is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

For a reaction to be spontaneous at all temperatures

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

For a process to be spontaneous, the most favourable condition is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The relation

∆ G = ∆ H - T ∆ S

was given by

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

In conversion of limestone to lime,

{CaCO}_{3 (s)} \to {CaO}_{(s)} + {CO}_{2 (g)}

The values of

Δ H^{0} and Δ S^{0}

are +179.1 kJ mol^-1 and 160.2 J/K respectively at 298 K and 1 bar. Assuming that

Δ H^{0} and Δ S^{0}

do not change with temperature. Temperature above which conversion of limestone to line will be spontaneous is

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

For the reaction

C O (g) + \frac{1}{2} O_{2} (g) \to C O_{2} (g), ∆ H a n d ∆ S a r e - 283 k J, - 87 J K^{- 1}

, respectively. It was intended to carry out this reaction at 1000, 1500, 3000 and 3500 K. At which of these temperatures would this reaction be thermodynamically spontaneous?

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

For the reaction

H_{2} O (l) ⇌ H_{2} O (g)

373 K

and

1 atm

pressure

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

For a particular reversible reaction at temperature

T, ∆ H and ∆ S

were found to be both

+ ve

. If

T_{e}

is the temperature at equilibrium, the reaction would be spontaneous when

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The signs of

ΔH, ΔS

and

ΔG

for a non-spontaneous reaction at all temperatures would be respectively

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

∆ G

for the reaction

A g_{2} O \to 2 A g + \frac{1}{2} O_{2}

at a certain temperature is found to be -10.0

k J m o l^{- 1}

, which one of the following statements is correct at this temperature?

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

In certain chemical reaction

∆ H = 150 k J

and

∆ S

100 J K^{- 1}

at 300 K. The value of

∆ G

would be

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

For a particular reaction,

Δ H ° = - 40 k J

and

Δ S ° = - 200 J K^{- 1} {m o l}^{- 1}

. The reaction is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

For a spontaneous reaction the

∆ G

, equilibrium constant

(K)

and

E °_{cell}

will be, respectively:

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

I_{2} (s) ⇌ I_{2} (g); ∆ H = + 40 k c a l, ∆ S = 80 c a l

. The sublimation point

I_{2} (s)

will be

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Consider the reaction

2 {NO}_{(g)} + O_{2 (g)} \to 2 {NO}_{2 (g)}

; Predict whether the reaction is spontaneous at

298 K

(Given:

∆_{f} G_{(NO)} = 86.69 kJ / mol

∆_{f} G_{(NO)} = 51.84 kJ / mol

)

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

A reaction,

A + B \to C + D + q

is found to have a positive entropy change. The reaction will be

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Important Questions on Linear Inequalities

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