Match the thermodynamic processes taking place in a system with the correct conditions. In the table: $∆ Q$ is the heat supplied, $∆ W$ is the work done, and $∆ U$ is the change in internal energy of the system.

A) (I) – (1), (II) – (1), (III) – (2), (IV) – (3)

B) (I) – (1), (II) – (2), (III) – (4), (IV) – (4)

C) (I) – (2), (II) – (4), (III) – (1), (IV) – (3)

D) (I) – (2), (II) – (1), (III) – (4), (IV) – (3)

Column 1	Column 2
(I) Adiabatic	(1) $∆ W = 0$
(II)Isothermal	(2) $∆ Q = 0$
(III)Isochoric	(3) $∆ U \neq 0, ∆ W \neq 0, ∆ Q \neq 0$
(IV)Isobaric	(4) $∆ U = 0$

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Q. The molar enthalpy of vaporization of hexane

(C_{6} H_{14})

28.9 k J / m o l

, and its normal boiling point is

69^{\circ} C

. What is the vapour pressure of hexane at

{25.00}^{\circ} C

t o r r

? [

e^{- 1.5} = 0.222

]

$169.5 t o r r$
$195.4 t o r r$
$134.6 t o r r$
$202.2 t o r r$

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Action of water on calcium carbide (CaC₂) is used for the preparation of acetylene gas (C₂H₂) used in welding. After the reaction, calcium carbide is converted into slaked lime. Write the balanced equation for the reaction.

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Q. One mole of an ideal gas is carried through a reversible cyclic process as shown in the figure. The maximum temperature attained by the gas during the cycle is (in K):

$\frac{7}{6 R}$
$\frac{12}{49 R}$
$\frac{49}{12 R}$
None of these

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Q. A gas is said to behave like an ideal gas when the relation

\frac{P V}{T}

=constant. When do you expect a real gas to behave like an ideal gas

When the temperature is high and pressure is low
When both the temperature and pressure are low
When the temperature is low
When both the temperature and pressure are high

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1

mole of

N H_{3}

gas at

27^{\circ} C

is expanded in reversible adiabatic condition to make the volume

8

times

(γ = 1.33)

. Final temperature and work done respectively are:

$150 K, - 900 cal$
$150 K, - 400 cal$
$250 K, - 1000 cal$
$200 K, - 800 cal$

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Q. Which of the following has the highest reduction potential?

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Q. One mole of Helium gas undergoes a reversible cyclic process ABCDA as shown in the figure.
Assuming gas to the ideal, answer the following questions:

What is the value of ‘q’ for the overall cyclic process?

$- 200 R ln 2$
$- 100 R ln 2$
$+ 100 R ln 2$
$+ 200 R ln 2$

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Match the thermodynamic processes given below:

$\begin{matrix} Column I & Column II A. Freezing of water at 273K and 1 atm & p. q=0 B. Expansion of 1 mole of an ideal gas into a vacuum under isolated conditions & q. W=0 C. Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container & r. ΔSsys<0 D. Reversible heating of H2(g) at 1 atm from 300 K to 600K, followed by reversible cooling to 300K at 1 atm & s. ΔU=0 t. ΔG=0 \end{matrix}$

$(A) \to r, t; (B) \to q, s, t; (C) \to p, q, s; (D) \to p, q, s$
$(A) \to r, t; (B) \to p, q, s; (C) \to p, q, s; (D) \to q, s, t$
$(A); \to q, s, t (B) \to p, q, s; (C) \to p, q, s; (D) \to r, t$
$(A) \to r, t; (B) \to p, q, s; (C) \to p, q, s; (D) \to q, s, t$

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The state of a gas can be described by quoting the relationship between
(a) pressure, volume, temperature
(b) temperature, amount, pressure
(c) amount, volume, temperature
(d) pressure, volume, temperature, amount

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Which of the following is true for a isobaric process?

dQ = 0
dV = 0
dP = 0
dT = 0

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Q. Find the

E^{0}

value for the reaction,

I n^{2 +} (a q) + C u^{2 +} (a q) ⇌ I n^{3 +} (a q) + C u^{+} (a q)

298 K

.
Given:

E_{C u^{2 +} (a q) / C u^{+} (a q)}^{0} = 0.15 V E_{I n^{2 +} (a q) / I n^{+} (a q)}^{0} = - 0.4 V

E_{I n^{3 +} (a q) / I n^{+} (a q)}^{0} = - 0.42 V

$0.59 V$
$1.23 V$
$0.23 V$
$0.97 V$

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Q. The pressure in the tyre of a car is four times the atmospheric pressure at

300 K

. If this tyre suddenly brusts, its new temperature will be :

(γ = 1.4)

$300 (4)^{1.4 / 0.4}$
$300 {(\frac{1}{4})}^{- 0.4 / 1.4}$
$300 (2)^{- 4 / 1.4}$
$300 (4)^{- 0.4 / 1.4}$

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Q. Assertion (A): Liquids tend to have maximum number of molecules at their surface. Reason (R): Small liquid drops have spherical shape.

Both A and R are true but R is not the correct explanation of A.
A is false but R is true.
A is true but R is false.
Both A and R are true and R is the correct explanation of A.

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(Molar specific heat capacity at constant pressure) - (Molar specific heat capacity at constant volume) is equal to:

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Q. The plots between P and V which represent isochoric and isobaric process respectively:

I, II
IV, I
I, IV
II, III

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If a molecule of nitrogen combines with three of hydrogen, how many molecules of ammonia will be formed?

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Balance the following equations:

(iii) $C_{2} H_{6} + O_{2} \to {CO}_{2} + H_{2} O$

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Q. What is the work which could be obtained from an isothermal reversible expansion of 1 mol of

C l_{2}

from

1 d m^{3}

50 d m^{3}

at 273 K using ideal gas behaviour.

$- 8.88 k J m o l^{- 1}$
$8.88 k J m o l^{- 1}$
$- 88.8 k J m o l^{- 1}$
$88.8 k J m o l^{- 1}$

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Q. For a gas solid adsorbent system, the adsorption isotherm

\frac{x}{m} = k P^{\frac{1}{n}}

is applicable, where

n = 5

in the specified case. Point out the correct statement:

$log (\frac{x}{m})$ vs $log P$ plot is a linear graph with slope equal to 5
$log (\frac{x}{m})$ vs $log P$ plot is a linear graph with slope equal to 0.2
$(\frac{x}{m})$ vs $P$ plot is a linear graph with slope equal to 5
None of these

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Q. One mole of an ideal gas is subjected to a two-step reversible process (A - B and B - C). The pressure at A and C is the same. Mark the correct statement(s):

Work done in the path AB is zero
In the path AB, work will be done on the gas by the surrounding
$V_{C} = 3 \times V_{A}$
$V_{B} = 16.42 litres$

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