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Ratio of the rate of diffusion of He to H2 at 0°C is same
- a)when temperature is changed to 100°C
- b)when O2 and CH4 are taken instead of He and H2
- c)when volume of the flask is doubled
- d)when temperature is changed to 0 K
Correct answer is option 'A,B,C'. Can you explain this answer?
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Ratio of the rate of diffusion of He to H2 at 0°C is samea)when t...
To understand why the ratio of the rate of diffusion of He to H2 is the same under different conditions, let's break down each option separately.
a) When the temperature is changed to 100°C:
- According to Graham's law of diffusion, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. In other words, lighter gases diffuse faster than heavier gases.
- At 0°C, the molar mass of He is 4 g/mol, while the molar mass of H2 is 2 g/mol. Therefore, He is lighter than H2 and will diffuse faster.
- When the temperature is increased to 100°C, both He and H2 will have increased kinetic energy. This increase in kinetic energy will result in an increase in the rate of diffusion for both gases.
- However, the ratio of the rate of diffusion will remain the same because the molar mass ratio of He to H2 is still 2:1. Even though the actual rates of diffusion may change, the ratio between them remains constant.
b) When O2 and CH4 are taken instead of He and H2:
- The ratio of the rate of diffusion will still remain the same because Graham's law of diffusion depends on the molar mass ratio of the gases, not the identity of the gases.
- O2 has a molar mass of 32 g/mol, while CH4 has a molar mass of 16 g/mol. The ratio of their molar masses is 2:1, just like He and H2. Therefore, the ratio of the rate of diffusion will remain the same.
c) When the volume of the flask is doubled:
- The ratio of the rate of diffusion will still remain the same because Graham's law of diffusion does not depend on the volume of the container.
- The rate of diffusion is determined by the molar mass ratio of the gases, which remains constant regardless of the volume of the container.
d) When the temperature is changed to 0 K:
- This option is incorrect because gases do not exist as gases at absolute zero (0 K). At this temperature, all gases would be in a solid or condensed state, and diffusion does not occur in solids.
In conclusion, the ratio of the rate of diffusion of He to H2 will remain the same under options a), b), and c) because Graham's law of diffusion depends on the molar mass ratio of the gases and is independent of factors such as temperature, identity of the gases, and volume of the container.
a) When the temperature is changed to 100°C:
- According to Graham's law of diffusion, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. In other words, lighter gases diffuse faster than heavier gases.
- At 0°C, the molar mass of He is 4 g/mol, while the molar mass of H2 is 2 g/mol. Therefore, He is lighter than H2 and will diffuse faster.
- When the temperature is increased to 100°C, both He and H2 will have increased kinetic energy. This increase in kinetic energy will result in an increase in the rate of diffusion for both gases.
- However, the ratio of the rate of diffusion will remain the same because the molar mass ratio of He to H2 is still 2:1. Even though the actual rates of diffusion may change, the ratio between them remains constant.
b) When O2 and CH4 are taken instead of He and H2:
- The ratio of the rate of diffusion will still remain the same because Graham's law of diffusion depends on the molar mass ratio of the gases, not the identity of the gases.
- O2 has a molar mass of 32 g/mol, while CH4 has a molar mass of 16 g/mol. The ratio of their molar masses is 2:1, just like He and H2. Therefore, the ratio of the rate of diffusion will remain the same.
c) When the volume of the flask is doubled:
- The ratio of the rate of diffusion will still remain the same because Graham's law of diffusion does not depend on the volume of the container.
- The rate of diffusion is determined by the molar mass ratio of the gases, which remains constant regardless of the volume of the container.
d) When the temperature is changed to 0 K:
- This option is incorrect because gases do not exist as gases at absolute zero (0 K). At this temperature, all gases would be in a solid or condensed state, and diffusion does not occur in solids.
In conclusion, the ratio of the rate of diffusion of He to H2 will remain the same under options a), b), and c) because Graham's law of diffusion depends on the molar mass ratio of the gases and is independent of factors such as temperature, identity of the gases, and volume of the container.
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Ratio of the rate of diffusion of He to H2 at 0°C is samea)when temperature is changed to 100°Cb)when O2 and CH4 are taken instead of He and H2c)when volume of the flask is doubledd)when temperature is changed to 0 KCorrect answer is option 'A,B,C'. Can you explain this answer?
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