Advertisements
Advertisements
प्रश्न
An ideal gas is trapped between a mercury column and the closed-end of a narrow vertical tube of uniform base containing the column. The upper end of the tube is open to the atmosphere. The atmospheric pressure equals 76 cm of mercury. The lengths of the mercury column and the trapped air column are 20 cm and 43 cm respectively. What will be the length of the air column when the tube is tilted slowly in a vertical plane through an angle of 60°? Assume the temperature to remain constant.
Advertisements
उत्तर
Here ,
Initial pressure = Atmospheric pressure + pressure due to mercury
⇒ P1 = P0 + PHg
Let the CSA of the tube be A.
P1 = 0.76 + 0.2 = 0.96 m Hg
T1 = T2 = T
V1 = 0.43 A
If the tube is slanted , then the atmospheric pressure P0 remains the same . only the PHg changes
`P_2 = P_0 + P_Hg cos60^circ` = 0.76 + 0.2 × 0.5 = 0.86
`P_1V_1 = P_2V_2`
⇒ `V_2 = (P_1V_1)/P_2 = (0.96×0.43A)/0.86`
Let the length of the air column be l.
⇒ Al = `(P_1V_1)/P_2 = (0.96×0.43A)/0.86`
⇒ l = 0.48 m
⇒ l = 48 cm
APPEARS IN
संबंधित प्रश्न
If the molecules were not allowed to collide among themselves, would you expect more evaporation or less evaporation?
The pressure of an ideal gas is written as \[P = \frac{2E}{3V}\] . Here E refers to
The process on an ideal gas, shown in figure, is
Find the number of molecules of an ideal gas in a volume of 1.000 cm3 at STP.
Figure shows two vessels A and B with rigid walls containing ideal gases. The pressure, temperature and the volume are pA, TA, V in the vessel A and pB, TB, V in the vessel B. The vessels are now connected through a small tube. Show that the pressure p and the temperature T satisfy `Ρ/T = 1/2 ({P_A}/{T_A}+{P_B}/{T_B))` when equilibrium is achieved.
The condition of air in a closed room is described as follows. Temperature = 25°C, relative humidity = 60%, pressure = 104 kPa. If all the water vapour is removed from the room without changing the temperature, what will be the new pressure? The saturation vapour pressure at 25°C − 3.2 kPa.
A glass contains some water at room temperature 20°C. Refrigerated water is added to it slowly. when the temperature of the glass reaches 10°C, small droplets condense on the outer surface. Calculate the relative humidity in the room. The boiling point of water at a pressure of 17.5 mm of mercury is 20°C and at 8.9 mm of mercury it is 10°C.
At what temperature will oxygen molecules have same rms speed as helium molecules at S.T.P.? (Molecular masses of oxygen and helium are 32 and 4 respectively).
Two vessels A and B are filled with the same gas where the volume, temperature, and pressure in vessel A is twice the volume, temperature, and pressure in vessel B. Calculate the ratio of the number of molecules of the gas in vessel A to that in vessel B.
Find the temperature of a blackbody if its spectrum has a peak at (a) λmax = 700 nm (visible), (b) λmax = 3 cm (microwave region) (c) λmax = 3 m (short radio waves). (Take Wien’s constant b = 2.897 × 10-3 m.K).
Above what temperature, all bodies radiate electromagnetic radiation?
A metal cube of length 4 cm radiates heat at the rate of 10 J/s. Find its emissive power at a given temperature.
What is the microscopic origin of temperature?
Explain in detail the kinetic interpretation of temperature.
When photons of energy hv fall on a metal plate of work function 'W0', photoelectrons of maximum kinetic energy 'K' are ejected. If the frequency of the radiation is doubled, the maximum kinetic energy of the ejected photoelectrons will be ______.
Average kinetic energy of H2 molecule at 300K is 'E'. At the same temperature, average kinetic energy of O2 molecule will be ______.
Which of the following materials is diathermanous?
2000 calories of radiant heat is incident on a body. If the body absorbs 550 calories of heat, find the coefficient of emmission of the body.
