Match the following (A) Isothermal process (i) q = ∆ U (B) Adiabatic process (ii) W = - P × ΔV (C) Isobaric process (iii) W = ∆ U (D) Isochoric process (iv) W = - nRTln V f V i

A - iv , B - iii , C - ii , D - i

A - iii , B - iv , C - i , D - ii

A - i , B - ii , C - iii , D - iv

A - ii , B - i , C - iv , D - iii

One mole of an ideal gas not necessarily monoatomic is subjected to the following sequence of steps a It is heated at constant volume from 298Kto373K b It is expanded freely into a vacuum to double volume c It is cooled reversibly at constant pressure to 298K Calculate qwU and H for the overall process

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

When 2 litre of ideal gas expands isothermally into vacuum to a total volume of

6

litre, the change in internal energy is _____ J. (Nearest integer)

HARD

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

Write the conditions for maximum work done by the system.

MEDIUM

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

If

92 g Na

reacts with water in open vessel at

300 K

. What is the value of work done? [Assume ideal nature of the gaseous product]

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

If

100 mole

of

H_{2} O_{2}

decompose at

1 bar

and

300 K

, the work is done (

kJ

) by one mole of

O_{2} (g)

as it expands against

1 bar

pressure is:

2 H_{2} O_{2} (l) ⇌ 2 H_{2} O (l) + O_{2} (g)

(R = 8 .3 J K^{- 1} {mol}^{- 1})

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

Five moles of an ideal gas at

1

bar and

298 K

is expanded into vacuum to double the volume. The work done is :

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

An ideal gas undergoes isothermal expansion at constant pressure. During the process:

HARD

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

Match the following

(A)	Isothermal process	(i)	$q = ∆ U$
(B)	Adiabatic process	(ii)	$W = - P \times ΔV$
(C)	Isobaric process	(iii)	$W = ∆ U$
(D)	Isochoric process	(iv)	$W = - nRTln (\frac{V_{f}}{V_{i}})$

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

An ideal gas expands adiabatically against vacuum. Which of the following is correct for the given process?

MEDIUM

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

The correct option for free expansion of an ideal gas under adiabatic condition is

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

A gas can expand from

100 mL

to

250 mL

under a constant pressure of

2 atm

. The work done by gas is

MEDIUM

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

The magnitude of work done by a gas that undergoes a reversible expansion along the path $A B C$ shown in the figure is _________.
Question Image

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

Calculate the work done during compression of

2

mol of an ideal gas from a volume of

1 m^{3}

to

10

{dm}^{3}

at

300 K

against a pressure of

100 kPa

.

HARD

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

A cylinder containing an ideal gas (

0.1 m o l

of

1.0 d m^{3}

) is in thermal equilibrium with a large volume of

0.5

molal aqueous solution of ethylene glycol at its freezing point. If the stoppers

S_{1}

and

S_{2}

(as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be _____________.
(Given,

K_{f} (w a t e r) = 2.0 K k g m o l^{- 1}, R = 0.08 d m^{3} a t m K^{- 1} m o l^{- 1})

HARD

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

An ideal gas undergoes isothermal compression from

5 m^{3}

to

1 m^{3}

against a constant external pressure of

4 N m^{- 2}

. The heat released in this process is

24 J {mol}^{- 1} K^{- 1}

and is used to increase the pressure of

1

mole of

Al

. The temperature of

Al

increases by:

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

Under the isothermal condition, a gas at $300 K$ expands from $0.1 L$ to $0.25 L$ against a constant external pressure of $2$ bar. The work done by the gas is

(Given that $1 L$ bar $= 100 J$ )

MEDIUM

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

An ideal gas initially at temperature, pressure and volume,

27 ° C, 1.00

bar and

10 L

respectively is heated at constant volume until pressure is

10.0

bar, it then undergoes a reversible isothermal expansion until pressure is

1.00 bar,

what is the total work

W

, during this process?

HARD

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

During the free expansion of an ideal gas in an isolated chamber,

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

Calculation the maximum work done in expanding

16 g

of oxygen at

300 K

and occupying a volume of

5 {dm}^{3}

isothermally until volume becomes

25 {dm}^{3}

.

EASY

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

An ideal gas is allowed to expand from

1 L

to

10 L

against a constant external pressure of

1

bar. The work done in

k J

is:

MEDIUM

Physical Sciences>Matter and Its Interactions>Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.>Structure and Properties of Matter - Gases and liquids are made of molecules or inert atoms that are moving about relative to each other

A gas is allowed to expand in a well-insulated container against a constant external pressure of

2.5 atm

from an initial volume of

2.50 L

to a final volume of

4.50 L .

The change in internal energy

ΔU

of the gas in joules will be

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