GATE-CH-2002-2-22-td-2mark

A rigid vessel, containing three moles of nitrogen gas at 30^oC , is heated to 250^oC . Assume the average heat capacities of nitrogen to be \(C_P = 29.1\) J/mol.^oC and \(C_V = 20.8\) J/mol.^oC . The heat required, neglecting the heat capacity of the vessel, is

• 13728 J

• 19206 J

• 4576 J

• 12712 J

GATE-CH-2003-8-td-1mark

One mole of Nitrogen at 8 bar and 600 K is contained in a piston-cylinder arrangement. It is brought to 1 bar isothermally against a resisting pressure of 1 bar. The work done (in Joule) by the gas is

• 30554

• 10373

• 4988.4

• 4364.9

GATE-CH-2006-31-td-2mark

Match the following:

(A) Heat	(I) State function
(B) Internal energy	(II) Path function
(C) Work
(D) Entropy

• (A)-(II); (B)-(I); (C)-(I); (D)-(I)

• (A)-(II); (B)-(I); (C)-(II); (D)-(II)

• (A)-(II); (B)-(II); (C)-(I); (D)-(I)

• (A)-(II); (B)-(I); (C)-(II); (D)-(I)

GATE-CH-2010-17-td-1mark

A new linear temperature scale, denoted by \(^\circ \)S, has been developed, where the freezing point of water is 200\(^\circ \)S and the boiling point is 400\(^\circ \)S. On this scale, 500\(^\circ \)S corresponds, in degrees Celsius to

• 100^oC

• 125^oC

• 150^oC

• 300^oC

GATE-XE-2008-G-3-td-1mark

The densities of water and ice at 0^oC are 1000 kg/m³ and 900 kg/m³, respectively. If ice at 0^oC is allowed to melt into water at the same temperature, then

• work is done by ice on the surrounding atmosphere

• work is done by the atmosphere on ice

• there is no work interaction

• nothing can be said about the work interaction

GATE-XE-2009-E-5-td-1mark

An ideal gas undergoes expansion according to the process \(PV^{0.5} = \text {constant}\). The temperature of the gas during the expansion process

• does not change

• increases

• decreases

• changes depending on the initial condition

GATE-XE-2012-E-1-td-1mark

Consider a piston-cylinder arrangement containing a gas. This system is heated by placing it on the top of a burner. The system undergoes

• a constant volume process

• a constant pressure process

• an adiabatic process

• an isothermal process

GATE-XE-2014-E-2-td-1mark

A small container has gas at high pressure. It is placed in an evacuated space. If the container is punctured, work done by the gas is

• positive

• negative

• zero

• \(\infty \)

GATE-CH-1994-3-p-td-1mark

Pressure is an extensive property. (True/False)

• True
• False

GATE-CH-1994-3-q-td-1mark

Work done by a gas during free expansion is zero. (True/False)

• True
• False

GATE-CH-1994-3-s-td-1mark

The mechanical work done by a system is always equal to \(\int P dV\). (True/False)

• True
• False

GATE-CH-2003-43-td-2mark

Heat capacity of air can be approximately expressed as \(C_P = 26.693 + 7.365 \times 10^{-3}T\) where \(C_P\) is in J/(mol.K) and \(T\) is in K. The heat given off by 1 mole of air when cooled at 1 atmospheric pressure from 500^oC to -100^oC is

• 10.73 kJ

• 16.15 kJ

• 18.11 kJ

• 18.33 kJ

GATE-XE-2008-G-13-td-2mark

Consider the cycles given below and state which one of the following statement is true.

• In both (I) and (II) net work done is \(+12\) units

• In (II) net work done is more since in (I) no work is produced by the constant volume process

• Magnitudes of net work produced in both (I) and (II) are 12 units but their signs are opposite

• Magnitudes of net work produced in both (I) and (II) are different

GATE-CH-2013-35-td-2mark

Calculate the heat required (in kJ, up to 1 digit after the decimal point) to raise the temperature of 1 mole of a solid material from 100^oC to 1000^oC . The specific heat \((C_P)\) of the material (in J/mol.K) is expressed as \(C_P = 20 + 0.005T\), where \(T\) is in K. Assume no phase change. ____________

• Answer

GATE-XE-2012-E-21-22-td-4mark

A piston-cylinder arrangement as shown in the figure initially contains air at 150 kPa and 400^oC. The arrangement is allowed to cool to the ambient temperature of 20^oC. The characteristic gas constant for air is 0.287 kJ/kg.K. The cylinder wall has stops of negligible thickness that can prevent the piston from moving down. The stops are 1 m from the inner side of the base surface of the cylinder. At the initial state, the piston is resting 1 m above the stops.

(i) The final pressure in the cylinder (in kPa) is

{#1}

(ii) The specific work done by the air (in kJ/kg) during the process is

{#2}

GATE-CH-1990-6-iii-td-2mark

The maximum work obtainable from a closed system under isothermal operation is given by --------------- ; For one mole of an ideal gas expanding isothermally to twice its volume, this is equal to --------------- .

• Answer

GATE-CH-1990-6-iv-td-2mark

The minimum work required for steady isothermal compression of a real gas is given by --------------- ; For one mole of an ideal gas that is compressed isothermally from one to two atmospheres, this is equal to --------------- .

• Answer