मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता ११

P a Vessel Contains 1.60 G of Oxygen and 2.80 G of Nitrogen. the Temperature is Maintained at 300 K and the Volume of the Vessel is 0.166 M3. Find the Pressure of the Mixture.

Advertisements
Advertisements

प्रश्न

A vessel contains 1.60 g of oxygen and 2.80 g of nitrogen. The temperature is maintained at 300 K and the volume of the vessel is 0.166 m3. Find the pressure of the mixture.

Use R = 8.3 J K-1 mol-1

बेरीज
Advertisements

उत्तर

Here ,
V = 0 .166 m3
T = 300 K 
Mass of O2 = 1.60  g
MO = 32  g
nO = \[\frac{1.60}{32} = 0.05 \]
Mass of N2 = 2.80  g
\[\ M_N = 28  g \]
\[\ n_N = \frac{2.80}{28} = 0.1 \]
Partial pressure of O2 is given by
\[\ P_O = \frac{n_O RT}{V} = \frac{0.05 \times 8.3 \times 300}{0.166} = 750 \]
Partial pressure of N2 is given by 
\[\ P_N = \frac{n_N RT}{V} = \frac{0.1 \times 8.3 \times 300}{0.166} = 1500 \]
Total pressure is sum of the partial pressures.

⇒ P = PN + PO = 750 + 1500 = 2250 Pa

shaalaa.com
Kinetic Theory of Gases - Concept of Pressure
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 24: Kinetic Theory of Gases - Exercises [पृष्ठ ३५]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 24 Kinetic Theory of Gases
Exercises | Q 29 | पृष्ठ ३५

संबंधित प्रश्‍न

While gas from a cooking gas cylinder is used, the pressure does not fall appreciably till the last few minutes. Why?


A gas is kept in a rigid cubical container. If a load of 10 kg is put on the top of the container, does the pressure increase?


If it were possible for a gas in a container to reach the temperature 0 K, its pressure would be zero. Would the molecules not collide with the walls? Would they not transfer momentum to the walls?


Figure shows graphs of pressure vs density for an ideal gas at two temperatures T1 and T2.


The pressure of a gas kept in an isothermal container is 200 kPa. If half the gas is removed from it, the pressure will be


Air is pumped into an automobile tyre's tube up to a pressure of 200 kPa in the morning when the air temperature is 20°C. During the day the temperature rises to 40°C and the tube expands by 2%. Calculate the pressure of the air in the tube at this temperature.


A vessel of volume V0 contains an ideal gas at pressure p0 and temperature T. Gas is continuously pumped out of this vessel at a constant volume-rate dV/dt = r keeping the temperature constant. The pressure of the gas being taken out equals the pressure inside the vessel. Find (a) the pressure of the gas as a function of time, (b) the time taken before half the original gas is pumped out.

Use R = 8.3 J K−1 mol−1


An ideal gas is kept in a long cylindrical vessel fitted with a frictionless piston of cross-sectional area 10 cm2 and weight 1 kg. The length of the gas column in the vessel is 20 cm. The atmospheric pressure is 100 kPa. The vessel is now taken into a spaceship revolving round the earth as a satellite. The air pressure in the spaceship is maintained at 100 kPa. Find the length of the gas column in the cylinder.

Use R = 8.3 J K-1 mol-1


The initial pressure and volume of a given mass of a gas (Cp/Cv = γ) are p0 and V0. The gas can exchange heat with the surrounding. (a) It is slowly compressed to a volume V0/2 and then suddenly compressed to V0/4. Find the final pressure. (b) If the gas is suddenly compressed from the volume V0 to V0/2 and then slowly compressed to V0/4, what will be the final pressure?


Two glass bulbs of equal volume are connected by a narrow tube and are filled with a gas at 0°C at a pressure of 76 cm of mercury. One of the bulbs is then placed in melting ice and the other is placed in a water bath maintained at 62°C. What is the new value of the pressure inside the bulbs? The volume of the connecting tube is negligible.


Three samples A, B and C of the same gas (γ = 1.5) have equal volumes and temperatures. The volume of each sample is doubled, the process being isothermal for A, adiabatic for B and isobaric for C. If the final pressures are equal for the three samples, find the ratio of the initial pressures.


A barometer tube is 80 cm long (above the mercury reservoir). It reads 76 cm on a particular day. A small amount of water is introduced in the tube and the reading drops to 75.4 cm. Find the relative humidity in the space above the mercury column if the saturation vapour pressure at the room temperature is 1.0 cm.


A faulty barometer contains certain amount of air and saturated water vapour. It reads 74.0 cm when the atmospheric pressure is 76.0 cm of mercury and reads 72.10 cm when the atmospheric pressure is 74.0 cm of mercury. Saturation vapour pressure at the air temperature = 1.0 cm of mercury. Find the length of the barometer tube above the mercury level in the reservoir.


The temperature and the relative humidity are 300 K and 20% in a room of volume 50 m3. The floor is washed with water, 500 g of water sticking on the floor. Assuming no communication with the surrounding, find the relative humidity when the floor dries. The changes in temperature and pressure may be neglected. Saturation vapour pressure at 300 K = 3.3 kPa.

Use R = 8.31 J K-1 mol-1


A bucket full of water is placed in a room at 15°C with initial relative humidity 40%. The volume of the room is 50 m3. (a) How much water will evaporate? (b) If the room temperature is increased by 5°C, how much more water will evaporate? The saturation vapour pressure of water at 15°C and 20°C are 1.6 kPa and 2.4 kPa respectively.

Use R = 8.3 J K-1 mol-1


Air separated from the atmosphere by a column of mercury of length h = 15 cm is present in a narrow cylindrical two-soldered at one end. When the tube is placed horizontally the air occupies a volume V1 = 240 mm3. When it is set vertically with its open end upwards the volume of the air is V2 = 200 mm3. The atmospheric pressure during the experiment is 7n cm of Hg where n is a single digit number. n will be ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×