As a bubble comes from the bottom of a lake to the top, its radius:
Coefficient of linear expansion of brass and steel rods are α 1 and α 2 . Lengths of brass and steel rods are l 1 and l 2 respectively . If ( l 2 – l 1 ) is maintained same at all temperatures, which one of the following relations holds good?
If a cylinder of diameter 1.0cm at 30°C is to be slid into a hole of diameter 0.9997 cm in a steel plate at the same temperature, the minimum required rise in the temperature of the plate is: (Coefficient of linear expansion of steel=12 × 10 -6 /°C)
The coefficient of linear expansion of an in homogeneous rod changes linearly from α 1 to α 2 from one end to the other end of the rod. The effective coefficient of linear expansion of rod is
Temperature at which Fahrenheit and kelvin pair of scales give the same reading will be:
Radius of an air bubble at the bottom of the lake is r and· it becomes 2 r when the air bubble rises to the top surface of the lake. If P cm of water be the atmospheric pressure, then the depth of the lake is:
On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39°W and 239°W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39°C on the Celsius scale?
In the given (V – T) diagram, what is the retation between pressures P 1 and P 2 ?
A vessel containing 10 litre of air under a pressure of 1MPa is connected to a 4 litre empty vessel. The final air pressure in the vessel assuming that the process is isothermal.
If an air bubbles rises from the bottom of a mercury tank to the top its volume become 1 1 2 times. When normal pressure is 76 cm of Hg then the depth of the Hg tank is
An air bubble rises from the bottom of a lake and its radius is doubled on reaching the surface. If the temperature is constant the depth of the lake is. (1 atmospheric pressure = 10m height of water column)
Two vessels of volume 10 and 5 litres contain air at 5 atmospheres and x (Unknown) atmospheres. When they are connected together with a small tube the resultant pressure is ‘6’ atmospheres find the value of ‘x’
A quill tube contains a mercury column of length 19cm. The length of air column is 24cm when it is held vertically. On inverting it with its open end downwards the length of air column will be (atmospheric pressure = 76cm of Hg)
At what temperature will the volume of a gas be twice the volume at 27 0 C at a given pressure.
If the temperature of a gas is increased by 1K at constant pressure its volume increases by 0.0035 of the initial volume. The temperature of the gas is
A gas is kept at 13 0 C in a vessel, If the volume of the gas is kept constant and is heated, the pressure will be doubled to its initial pressure at a temperature
A cylinder contains a gas at temperature of 27 0 C and a pressure 1MPa. If the temperature of the gas is lowered to -23 0 C, the change in pressure is
State the equation corresponding to 8g of O 2 is
A given amount of gas is heated until both its pressure and volume are doubled. If initial temperature is 27 0 C, its final temperature is
At. N.T.P. 28 g of Nitrogen occupies 22.4 litres. What is the mass of 5.6 litres of Nitrogen at 38cm of Hg pressure and 273 0 C temperature
A vessel of volume 4 litres contains a mixture of 8g of O 2 , 14 g of N 2 and 22 g of CO 2 at 27 0 C.The pressure exerted by the mixture is
If a given mass of a gas occupies a volume 100cc at one atmospheric pressure and a temperature of 100 0 C. What will be its volume at 4 atmospheric pressure, the temperature being the same?
A vessel containing 9 litres of an ideal gas at 760 mm pressure is connected to an evacuated 9 litre vessel. The resultant pressure is
A bubble rises from the bottom of a lake 90m deep on reaching the surface, its volume becomes (take atmospheric pressure equals to 10 m of water )
An air bubble rises from the bottom to the surface of lake and it is found that its diameter is doubled. If the height of water barometer is 11m, the depth of the lake in meters is
The temperature of a gas contain in a closed vessel increased by 2 0 C when the pressure is increased by 2% the initial temperature of the gas is
The volume that a gas occupies at 343K if its volume at -25 0 C is 7.5 litre is (The process is isobaric)
A car tyre has air at 1.5 atm at 300 K.If P increases to 1.75 atm with volume same, the temperature will be
A gas at 627 0 C is cooled that its pressure becomes 1/3 of its initial value at constant volume. Its final temperature is
A gas at temperature 27 0 C and pressure 30 atmosphere is allowed to expand to one atmospheric pressure. If the volume becomes 10 times its initial volume, the final temperature becomes
State the equation corresponding to 4g of N 2 is
16 g of O 2 gas and x g of H 2 gas occupy the same volume at the same temperature and pressure. Then x =
An enclosure of volume 3 litre contains 16 g of oxygen, 7 g of nitrogen and 11 g of carbon – di-oxide at 27°C . The pressure exerted by the mixture is approximately [R = 0.0821 lit atm mole -1 K -1 ]
A vessel contains a gas under a pressure of 5 × 10 5 pa. If 3/5 of the mass of the gas is flown out, What will be the gas pressure if the temperature being maintained constant,
How much should the pressure of the gas be increased to decrease the volume by 10% at constant temperature ?
1 litre of oxygen at a pressure of 1 atmosphere and 2 litres of nitrogen at a pressure of 0.5 atmosphere are introduced in a vessel of 1 litre capacity without any change in temperature. The total pressure in atmosphere is
Two closed vessels of equal volume contain air at 105kPa at 300K and are connected through a narrow tube. If one of the vessels is now maintained at 300K and the other at 400K then the pressure becomes.
At the top of a mountain a thermometer read 7 0 C and barometer reads 70 cm of Hg. At the bottom of the mountain the barometer reads 76cm of Hg and thermometer reads 27 0 C. The density of air at the top of mountain is times the density at the bottom.
During an experiment an ideal gas is found to obey an additional gas law VT = constant. The gas is initially at temperature T and pressure P. When it is heated to the temperature2T, the resulting pressure is
At the bottom of a lake where temperature is 7 0 C the pressure is 2.8 atmosphere. An air bubble of radius1 cm at the bottom rises to the surface. Where the temperature is 27 0 C . Radius of air bubble at the surface is
The gas in vessel is subjected to a pressure of 20 atm at a temperature 27 0 C. The pressure of the gas in a vessel after one-half of the gas is released from the vessel and the temperature of the remainder is raised by 50 0 C is
An ideal gas is initially at temperature T and volume V. Its volume is increased by ∆ V due to an increase in temperature ∆ T , pressure remaining constant. The physical quantity δ = Δ V V Δ T varies with temperature as
The pressure P for a gas is plotted against its absolute temperature T for two different volumes V 1 and V 2 . If P is plotted on y-axis and T on x-axis, then
Two gases A and B having same pressure P, volume V and absolute temperature T are mixed. If the mixture has the volume and temperature as V and T respectively, then the pressure of the mixture is
A cylinder contained 10kg of gas at pressure 10 7 N / m 2 . The quantity of gas taken out of cylinder if final pressure is 2.5 × 10 6 N/m 2 is (Assume temperature of gas is constant)
An air bubble of volume V 0 is released by a fish at a depth h in a lake. The bubble rises to the surface. Assume constant temperature and standard atmospheric pressure P above the lake. The volume of the bubble just before reaching the surface is (d is the density of water).
If the pressure of a gas contained in a closed vessel increases by x% when heated by 1 0 C , its initial temperature is
A closed vessel contains 8 g of oxygen and 7g of Nitrogen. Total pressure at a certain temperature is 10 atm. When all the oxygen is removed from the system without change in temperature then the pressure will be
The volume of a gas at 0 0 C is 546cc. at constant pressure it is heated from 30 0 C to 50 0 C the change in volume is
A cylinder contains gas at a pressure of 2.5 atm. Due to leakage, the pressure falls to 2 atm, after sometime. The percentage of the gas which is leaked out is
A flask is filled with 13 g of an ideal gas at 27 0 C its temperature is raised to 52 0 C. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at 52 0 C and the pressure remaining the same is
A one litre sphere and a two litre sphere are connected with a capillary tube of negligible volume. They contain an ideal gas at 27 0 C at a pressure of 100cm of Hg. Keeping the temperature of one litre sphere constant at 27 0 C, if temperature of two litre sphere is increased to 127 0 C, then the final pressure is
Two containers of equal volume containing the same gas at pressure P 1 and P 2 and absolute temperature T 1 and T 2 respectively were connected with narrow capillary tube. The gas reaches a common pressure P and a common temperature T. The ratio P/T is equal to
During an experiment an ideal gas is found to obey an additional law V 2 P= constant. The gas is initially at a temperature T and volume V. When it expand to a volume 2V, the temperature becomes.
The density of a gas at N.T.P. is 1.5 g/lit. its density at a pressure of 152cm of Hg and temperature 27 0 C
The graph drawn between pressure and volume in Boyle’s law experiment is shown in figure for different masses of same gas at same temperature then
The graph drawn between pressure and volume in Boyle’s law experiment is shown in figure for different masses of same gas at same temperature then
In Boyles experiment for a given gas at different temperatures the graph drawn between pressure and density are straight lines as shown then
For an ideal gas V-T curves at constant pressures P 1 & P 2 are shown in figure, from the figure
A Volume V absolute temperature T diagram was obtained when a given mass of gas was heated. During the heating process from state 1 to 2, the pressure
Two identical containers each of volume V 0 are joined by a small pipe. The containers contain identical gases at temperature T 0 and pressure P 0 . One container is heated to temperature 2T 0 while maintaining the other at the same temperature. The common pressure of the gas is P and n is the number of moles of gas in container at temperature 2T 0 .
A Centigrade and a Fehrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer registers 140° . What is the fall in temperature as registered by the Centigrade thermometer
Two absolute scales A and B have triple points of water defined to be 200 A and 300 B (given triple point of water is = 276.16 K). The relation between T A and T B is
A mercury thermometer is transferred from melting ice to a hot liquid. The mercury rises to 9/10 of the distance between the two fixed points. Find the temperature of the liquid in Fahrenheit scale
A crystal has linear coefficients 0.00004/°C, 0.00005/°C, 0.00006/°C. Coefficient of cubical expansion of the crystal is
An iron metal rod is to maintain an accuracy of one part per million. The coefficient of linear expansion of iron is 1 × 10 -5 /°C. The minimum variations in temperature of the rod could be
A uniform solid brass cylinder of mass M=0.5 Kg and radius R=0.03m is placed in frictionless bearings and set to rotate about its geometrical axis with an angular velocity of 60 rad/s. After the cylinder has reached the specified state of rotation, it is heated (without any mechanical contact) from room temperature 20°C to 100°C. The fractional change in angular velocity of the cylinder is α = 2 × 10 − 5 / ∘ C
