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प्रश्न
Explain Boyle's Law on the basis of the kinetic theory of matter.
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उत्तर
Boyle's law on the basis of the kinetic theory of matter:
- According to the kinetic theory of matter, the number of particles present in a given mass and the average kinetic energy is constant.
- If the volume of the given mass of a gas is reduced to half of its original volume, then the same number of particles will have half the space to move.
- As a result, the number of molecules striking the unit area of the walls of the container at a given time will double and the pressure will also double.
- Alternatively, if the volume of a given mass of a gas is doubled at a constant temperature, the same number of molecules will have double the space to move.
- Thus, the number of molecules striking the unit area of the walls of a container at a given time will become one-half of the original value.
- Thus, the pressure will also get reduced to half of the original pressure. Hence, it is seen that if the pressure increases, the volume of a gas decreases at a constant temperature, which is Boyle's law.
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संबंधित प्रश्न
State the law which is represented by the following graph:
Give reasons for the following:
Inflating a balloon seems to violate Boyle's law.
At constant temperature, the effect of change of pressure on the volume of a gas was as given below:
|
Pressure in atmosphere |
Volume in liters |
|
0.20 |
112 |
|
0.25 |
89.2 |
|
0.40 |
56.25 |
|
0.60 |
37.40 |
|
0.80 |
28.10 |
|
1.00 |
22.4 |
(a) Plot the following graphs
- P vs V
- P vs 1/V
- PV vs P
Interpret each graph in terms of the law.
(b) Assuming that the pressure values given above are correct, find the correct measurement of the volume.
Calculate the volume occupied by 2 g of hydrogen at 27°C and 4-atmosphere pressure if at STP it occupies 22.4 litres.
22.4 litres of gas weighs 70 g at STP. Calculate the weight of the gas if it occupies a volume of 20 litres at 27°C and 700 mmHg of pressure.
State Boyle’s Law.
50 cm3 of hydrogen is collected over water at 17°C and 750 mmHg pressure. Calculate the volume of a dry gas at STP. The water vapour pressure at 17°C is 14 mmHg.
A given mass of a gas occupied 143 cm3 at 27° C and 700 mm Hg pressure. What will be its volume at 300 K and 280 mm Hg pressure?
A gas cylinder having a capacity of 20 litres contains a gas at 100 atmos. How many flasks of 200 cm3 capacity can be filled from it at 1 atmos. pressure if the temperature remains constant?
Calculate the volume of a gas ‘A’ at s.t.p., if at 37°C and 775 mm of mercury pressure, it occupies a volume of `9 1/2` litres.
