A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 3 7 . 0 ∘ C . As it does so, it absorbs 208 J of heat. The values of q and w for the process will be (R = 8.314 J/mol K) (ln7.5 = 2.01)

q = + 2 0 8 J , w ⁡ = - 2 0 8 J

q = + 2 0 8 J , w ⁡ = + 2 0 8 J

q = - 2 0 8 J , w ⁡ = - 2 0 8 J

MEDIUM

Earn 100

Complete the following crossword puzzle:

DOWN

1. Decrease in the size of a substance on cooling.

3. State where particles take the shape of the container in which it is stored.

4. Anything that has mass and occupies space.

7. State which does not have definite shape nor definite volume.

ACROSS

2. States of matter which has definite shape and definite volume.

5. Change of liquid state to a solid state.

6. Change from a solid state to a liquid state.

Important Questions on Matter in our Surroundings

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

X g

of ice at

0^{o} C

is added to 340g of water at

20^{o} C

. The final temperature of the resultant mixture is

5^{o} C

. The value of

X

(in g) is closest to

[Heat of fusion of ice

= 333 J / g

; Specific heat of water

= 4.184 J / g . K

]

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

A system consisting of 1 mol of an ideal gas undergoes a reversible process,

A \to B \to C \to A

(schematically indicated in the figure below). If the temperature at the starting point A is 300 K and the work done in the process

B \to C

is 1 L atm, the heat exchanged in the entire process in L atm is

Question Image

EASY

Science>Chemistry>Matter in our Surroundings>States of Matter

Calculate the work done during compression of

2

mol of an ideal gas from a volume of

1 m^{3}

10

{dm}^{3}

300 K

against a pressure of

100 kPa

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

For the isothermal reversible expansion of an ideal gas

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

The combination of plots which does not represent isothermal expansion of an ideal gas is

$(A)$ Question Image

$(B)$

$(C)$

$(D)$

EASY

Science>Chemistry>Matter in our Surroundings>States of Matter

A gas undergoes change from state

A

to state

B

. In this process, the heat absorbed and work done by the gas is

5 J and 8 J

, respectively. Now gas is brought back to

A

by another process during which

3 J

of heat is evolved. In this reverse process of

B to A

EASY

Science>Chemistry>Matter in our Surroundings>States of Matter

The work done during combustion of

9 \times 10^{- 2}

kg

of ethane,

C_{2} H_{6} (g)

300 K

is (Given

R = 8 .314 {JK}^{- 1} {mol}^{- 1}

, atomic mass

C = 12, H = 1

)

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

The molar enthalpy change for

H_{2} O (l) ⇌ H_{2} O (g)

373 K

and

1 atm

40 kJ / mol

. Assuming ideal behaviour, the internal energy change for vaporization of

1 mol

of water at

373 K

and

1 atm

kJ {mol}^{- 1}

is:

HARD

Science>Chemistry>Matter in our Surroundings>States of Matter

A reversible cyclic process for an ideal gas is shown below. Here,

P, V, a n d T

are pressure, volume and temperature, respectively. The thermodynamic parameters

q, w, H a n d U

are heat, work, enthalpy and internal energy, respectively.

Question Image

The correct option(s) is (are)

HARD

Science>Chemistry>Matter in our Surroundings>States of Matter

The above

P - V

diagram represents the thermodynamic cycle of an engine, operating with an ideal mono-atomic gas. The amount of heat, extracted from the source in a single cycle, is:

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

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

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

The qualitative sketches I, II and III given below show the variation of surface tension with molar concentration of three different aqueous solutions of KCl,

C H_{3} O H

and

C H_{3} {(C H_{2})}_{11} O S O_{3}^{-} N a^{+}

at room temperature. The correct assignment of the sketches is -

Question Image

HARD

Science>Chemistry>Matter in our Surroundings>States of Matter

The volume vs. temperature graph of 1 mole of an ideal gas is given below

Question Image

The pressure of the gas (in atm) at

X, Y

and

Z,

respectively, are

EASY

Science>Chemistry>Matter in our Surroundings>States of Matter

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

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

The three processes in a thermodynamic cycle shown in the figure are : Process $1 \to 2$ is isothermal; Process $2 \to 3$ is isochoric (volume remains constant); Process $1 \to 3$ is adiabatic.

Question Image

The total work done by the ideal gas in this cycle is, $10 J .$ The internal energy decreases by, $20 J$ in the isochoric process. The work done by the gas in the adiabatic process is, $- 20 J$ . The heat added to the system in the isothermal process is

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

An ideal gas in a thermally insulated vessel at internal pressure =

P_{1}

, volume =

V_{1}

and absolute temperature =

T_{1}

expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are

P_{2}

V_{2}

and

T_{2}

, respectively. For this expansion,

Question Image

EASY

Science>Chemistry>Matter in our Surroundings>States of Matter

100 mole

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})

MEDIUM

Science>Chemistry>Matter in our Surroundings>States of Matter

A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of

37 . 0^{\circ} C

. As it does so, it absorbs 208 J of heat. The values of q and w for the process will be
(R = 8.314 J/mol K) (ln7.5 = 2.01)

HARD

Science>Chemistry>Matter in our Surroundings>States of Matter

An ideal gas undergoes isothermal compression from

5 m^{3}

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

Science>Chemistry>Matter in our Surroundings>States of Matter

A piece of ice falls from a height

h

so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of

h

is:
(Latent heat of ice is

3.4 \times 10^{5} {J kg}^{- 1}

and

g = 10 {N kg}^{- 1}

)

Important Questions on Matter in our Surroundings

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