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Specific Heat Capacities of Gases — JEE Main & Advanced Physics PYQs

85 previous year questions from Specific Heat Capacities of Gases with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

The ratio of molar heat capacities for an ideal gas is given as C_p / C_V = 7/6 . Find the change in internal energy of 1.0 mole of the gas when its temperature is raised by 50 K a

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An ideal gas has a molar heat capacity ratio of C_p / C_V = 7/6 . Determine the change in internal energy of 1.0 mole of this gas when its temperature is raised by 50 K while keepi

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As illustrated in the figure, a cylindrical container holds oxygen ( = 1.4 ) and is sealed by a 50 kg frictionless piston. The cross-sectional area is 100 cm ^2 , the atmospheric p

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A vessel containing one mole of a monatomic ideal gas (molecular weight = 20 g mol ⁻¹ ) travels on a floor at a speed of 50 m s ⁻¹ . The vessel is abruptly brought to rest. Assumin

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When 50 J of heat is supplied to an ideal gas, it expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa . Calculate the change in internal energy of the gas.

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An ideal gas expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa when 50 J of heat is supplied to it. Assuming the initial temperature is 300 K , calculate th

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An ideal gas expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa upon being supplied with 50 J of heat. Determine the number of moles in the gas if its initia

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During a particular process, a monatomic ideal gas absorbs an amount of heat Q and performs work equal to Q/2 on its surroundings. Determine the molar heat capacity of the gas for

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An ideal gas undergoes a process where its pressure and volume vary according to the relation p = kV . The molar heat capacity of the gas for this process is given by

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An ideal gas (with C_p / C_V = ) undergoes a process where its pressure and volume are related by p = aV^b . Determine the value of b such that the specific heat capacity during th

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Consider two ideal gases that share the same value of C_p / C_V = . If these two gases are mixed in a 1 : 2 ratio, what will be the value of this ratio for the resulting mixture?

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A mixture consists of 1 mole of helium ( C_p = 2.5 R , C_V = 1.5 R ) and 1 mole of hydrogen ( C_p = 3.5 R , C_V = 2.5 R ). Determine the values of C_p , C_V , and for this mixture.

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Half mole of an ideal gas ( = 5/3 ) is taken through the cycle abcda as shown in the figure. Take R = 25 3 J K ⁻¹ mol ⁻¹ . Determine the temperature of the gas in the states a , b

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Half mole of an ideal gas ( = 5/3 ) is taken through a cycle abcda in a P - V diagram. The states are located at a(5000 cm ^3, 100 kPa ) , b(10000 cm ^3, 100 kPa ) , c(10000 cm ^3,

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Half mole of an ideal gas ( = 5/3 ) is taken through a cycle abcda in a P - V diagram. The states are located at a(5000 cm ^3, 100 kPa ) , b(10000 cm ^3, 100 kPa ) , c(10000 cm ^3,

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An ideal gas ( = 1.67 ) is taken through the process abc shown in the figure. The temperature at the point a is 300 K . Calculate the temperatures at b and c .

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An ideal gas ( = 1.67 ) is taken through the process abc shown in the figure. The temperature at the point a is 300 K . Calculate the work done in the process.

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An ideal gas ( = 1.67 ) is taken through the process abc shown in the figure. The temperature at the point a is 300 K . Calculate the amount of heat supplied in the path ab and in

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A rigid container holds 5 g of a gas, which is heated from 15^ C to 25^ C . The specific heat capacity of the gas at constant volume is 0.172 cal g ⁻¹ ^ C⁻¹ and the mechanical equi

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For an ideal gas, the ratio of molar heat capacities is C_p / C_V = 7/6 . Calculate the change in internal energy of 1.0 mole of the gas when its temperature is increased by 50 K w

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For hydrogen, the specific heat capacities at constant volume and at constant pressure are 2.4 cal g ⁻¹ ^ C ⁻¹ and 3.4 cal g ⁻¹ ^ C ⁻¹ respectively. The molecular weight of hydroge

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Within Joly's differential steam calorimeter, 3 g of an ideal gas resides in a rigid closed sphere at 20^ C . The sphere is heated using steam at 100^ C . Once the gas temperature

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An ideal gas ( = 1.67 ) is taken through the process abc shown in the figure. The temperature at the point a is 300 K . Calculate the change in the internal energy of the gas in th

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A sample of air weighing 1.18 g occupies 1.0 10^3 cm ^3 when maintained at 300 K and 1.0 10^5 Pa . When 2.0 cal of heat is supplied to it at constant volume, its temperature rises

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An ideal gas ( = 1.5 ) undergoes an adiabatic change in volume from 4.00 litres to 3.00 litres. Determine the ratio of its final pressure to its initial pressure.

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An ideal gas ( = 1.5 ) undergoes an adiabatic change in volume from 4.00 litres to 3.00 litres. Determine the ratio of its final temperature to its initial temperature.

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Occupying 100 cc , an ideal gas is initially at a pressure of 2.5 10^5 Pa and a temperature of 300 K . It is adiabatically compressed to half its original volume. Determine the fin

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Air ( = 1.4 ) is pumped to a pressure of 2 atm inside a motor tyre at 20^ C . If the tyre suddenly bursts, determine the temperature of the escaping air. Disregard any mixing with

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A gas is confined in a cylindrical can fitted with a piston. Both the piston and the walls of the can are adiabatic. The initial pressure, volume, and temperature of the gas are 10

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When an ideal gas is supplied with 50 J of heat, it expands from 100 cm ^3 to 200 cm ^3 at a constant pressure of 2.0 10^5 Pa . If the initial temperature is 300 K , determine the

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A gas is confined in a cylindrical can fitted with a piston. Both the piston and the walls of the can are adiabatic. The initial pressure, volume, and temperature of the gas are 10

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A given mass of a gas, with a specific heat ratio C_p / C_V = , has an initial pressure p₀ and an initial volume V₀ . The gas is permitted to exchange heat with its surroundings. I

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An ideal gas sample ( = 1.5 ) is adiabatically compressed from a volume of 150 cm ^3 to 50 cm ^3 . The initial pressure and initial temperature are 150 kPa and 300 K . Determine th

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An ideal gas sample ( = 1.5 ) is adiabatically compressed from a volume of 150 cm ^3 to 50 cm ^3 . The initial pressure and initial temperature are 150 kPa and 300 K . Calculate th

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An ideal gas sample ( = 1.5 ) is adiabatically compressed from a volume of 150 cm ^3 to 50 cm ^3 . The initial pressure and initial temperature are 150 kPa and 300 K . Calculate th

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An ideal gas sample ( = 1.5 ) is adiabatically compressed from a volume of 150 cm ^3 to 50 cm ^3 . The initial pressure and initial temperature are 150 kPa and 300 K . Determine th

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An ideal gas sample ( = 1.5 ) is adiabatically compressed from a volume of 150 cm ^3 to 50 cm ^3 . The initial pressure and initial temperature are 150 kPa and 300 K . Determine th

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Three samples A , B and C of the same gas ( = 1.5 ) initially have equal volumes and temperatures. Each sample's volume is doubled, with the process being isothermal for A , adiaba

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Two samples A and B of the same gas have equal volumes and pressures. The gas in sample A is expanded isothermally to double its volume, whereas the gas in sample B is expanded adi

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An ideal gas with = 1.5 and an initial volume of 1 litre at 300 K is suddenly compressed until its volume is halved. Determine the ratio of the final pressure to the initial pressu

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An ideal gas ( = 1.5 ) occupying 1 litre at 300 K and an initial pressure of 100 kPa undergoes a sudden compression to half its original volume. Calculate the work done by the gas

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An ideal gas ( = 1.5 ) initially at 300 K and 100 kPa with a volume of 1 litre is suddenly compressed to half its original volume. What is the change in the internal energy of the

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An ideal gas possessing = 1.5 is initially at 300 K with a volume of 1 litre. It is suddenly compressed to half its original volume. Determine the final temperature of the gas.

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An ideal gas ( = 1.5 ) at 300 K and 100 kPa with an initial volume of 1 litre undergoes a cycle: it is suddenly compressed to half its volume, cooled at constant pressure to 300 K

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An ideal gas ( = 1.5 ) initially at 1 litre, 300 K , and 100 kPa is suddenly compressed to half its original volume. Subsequently, the gas is cooled back to 300 K while maintaining

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An ideal gas ( = 1.5 ) starting at 1 litre, 300 K , and 100 kPa is suddenly compressed to half its volume, then cooled at constant pressure back to 300 K . Finally, the gas is expa

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A given mass of a gas, with a specific heat ratio C_p / C_V = , has an initial pressure p₀ and an initial volume V₀ . The gas is permitted to exchange heat with its surroundings. I

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Occupying 100 cc , an ideal gas is initially at a pressure of 2.5 10^5 Pa and a temperature of 300 K . It is adiabatically compressed to half its original volume. Evaluate the work

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Occupying 100 cc , an ideal gas is initially at a pressure of 2.5 10^5 Pa and a temperature of 300 K . It is adiabatically compressed to half its original volume. Determine the fin

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Two rigid vessels A and B , each having a volume of 200 cm ^3 , contain an ideal gas ( C_V = 12.5 J K ⁻¹ mol ⁻¹ ). These vessels are connected to a manometer tube containing mercur

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A sample of an ideal gas ( C_p / C_V = ) has an initial pressure p₀ and volume V₀ . The gas is isothermally taken to a pressure p₀ / 2 and from there adiabatically to a pressure p₀

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Two vessels with adiabatic walls are shown in the figure. One vessel holds 0.1 g of helium ( = 1.67 , M = 4 g mol ⁻¹ ) while the other holds an unknown amount of hydrogen ( = 1.4 ,

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Two rigid vessels A and B , each having a volume of 200 cm ^3 , contain an ideal gas ( C_V = 12.5 J K ⁻¹ mol ⁻¹ ). These vessels are connected to a manometer tube containing mercur

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A sample of an ideal gas ( C_p / C_V = ) has an initial pressure p₀ and volume V₀ . The gas is adiabatically taken to a pressure p₀ / 2 and from there isothermally to a pressure p₀

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Two vessels A and B of equal volume V₀ are joined by a narrow tube equipped with a valve. The vessels contain pistons that can be moved to alter the volumes. Initially, the valve i

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An adiabatic cylindrical tube having a volume V₀ is separated into two parts by a frictionless adiabatic separator, as shown in the figure. Initially, the separator is held in the

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Two vessels A and B of equal volume V₀ are joined by a narrow tube equipped with a valve. The vessels contain pistons that can be moved to alter the volumes. Initially, the valve i

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As shown in the figure, a cylindrical tube possesses adiabatic walls and is equipped with an adiabatic separator. An external mechanism can be used to slide the separator within th

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An adiabatic cylindrical tube having a volume V₀ is separated into two parts by a frictionless adiabatic separator. Initially, the separator is held in the middle. The left part is

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An adiabatic cylindrical tube having a volume V₀ is separated into two parts by a frictionless adiabatic separator. Initially, the separator is held in the middle. The left part is

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At 0^ C , the speed of sound in hydrogen is 1280 m s ⁻¹ . The density of hydrogen at STP is 0.089 kg m ⁻³ . Determine the molar heat capacities C_p and C_V of hydrogen.

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A Kundt tube is filled with an ideal gas having a density of 1.7 10⁻³ g cm ⁻³ at a pressure of 1.5 10^5 Pa . When the gas is resonated at a frequency of 3.0 kHz , nodes form at a s

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Closed at one end and fitted with a piston at the other, an adiabatic cylindrical tube has a cross-sectional area of 1 cm ^2 . The tube holds 0.03 g of an ideal gas. At a pressure

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At STP, 4.0 g of helium occupies a volume of 22400 cm ^3 . Given that the specific heat capacity of helium at constant pressure is 5.0 cal K ⁻¹ mol ⁻¹ , determine the speed of soun

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In a tube filled with oxygen at 300 K , standing waves of frequency 5.0 kHz are generated. The separation between successive nodes is 3.3 cm . Determine the specific heat capacitie

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The work performed by a sample of an ideal gas during process A is twice the work done during another process B . The temperature increases by an identical amount in both processes

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For a certain gas sample, the quantity C_p - C_V is 1.00 R in state A and 1.08 R in state B . If the pressures are denoted by p_A and p_B , and the temperatures by T_A and T_B for

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During an adiabatic process on a gas having = 1.4 , its pressure increases by 0.5 % . The volume of the gas decreases by approximately

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Suppose C_V and C_p denote the molar heat capacities of an ideal gas at constant volume and constant pressure, respectively. Which of the following expressions is a universal const

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In the case of a solid possessing a small expansion coefficient,

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As shown in the figure, a gas undergoes a process during which both its pressure and volume change. Let C be the molar heat capacity for this process.

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To raise the temperature of 2 mole of an ideal gas from 30^ C to 35^ C at constant pressure, 70 calories of heat is required. The amount of heat needed to raise the temperature of

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Determine the molar heat capacity for the thermodynamic process depicted in the figure.

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Two samples A and B are initially maintained in identical states. Sample A undergoes expansion via an adiabatic process, whereas sample B expands via an isothermal process. Both sa

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At STP, the molar heat capacity of oxygen gas is nearly 2.5 R . With an increase in temperature, it gradually rises and approaches 3.5 R . The most fitting reason for this behaviou

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Let T_a and T_b be the final temperatures of the samples A and B respectively. Let W_a and W_b be the work done by the systems A and B respectively.

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Two samples A and B are initially kept in the same state. The sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of

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During an isothermal process on an ideal gas, the pressure rises by 0.5 % . The volume decreases by approximately

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Suppose Q and W denote the amount of heat supplied to an ideal gas and the work performed by it during an isothermal process. Which of the following relations holds true?

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When a gas enclosed in a container of finite conductivity is suddenly compressed, the process

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Suppose Q and W represent the amount of heat supplied to an ideal gas and the work performed by it during an adiabatic process.

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Examine the processes A and B displayed in the figure. It is possible that

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One mole of an ideal gas is kept in a rigid container of negligible heat capacity. If 3.0 cal of heat is supplied to the gas, its temperature rises by 1^ C . This gas could be

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Three identical adiabatic containers A , B , and C hold helium, neon, and oxygen respectively at equal pressures. These gases are compressed to half their original volumes. Which o

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Four cylinders hold equal numbers of moles of argon, hydrogen, nitrogen, and carbon dioxide at the same temperature. The energy is minimum in

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