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According to Gay-Lussac law for a perfect gas, the absolute pressure of given mass varies directly as
- a)temperature
- b)absolute
- c)absolute temperature, if volume is kept constant
- d)volume, if temperature is kept constant
- e)remains constant, if volume and temperature are kept constant
Correct answer is option 'C'. Can you explain this answer?
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According to Gay-Lussac law for a perfect gas, the absolute pressure o...
Gay–Lussac’s Law shows the relationship between the absolute temperature and pressure of a gas. At a fixed volume, the absolute temperature and pressure of a gas are directly proportional to each other.
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According to Gay-Lussac law for a perfect gas, the absolute pressure o...
According to Gay-Lussac's law, the absolute pressure of a given mass of a perfect gas varies directly with its absolute temperature, if the volume is kept constant. Let's understand this law in detail:
Gay-Lussac's Law
Gay-Lussac's law, also known as the pressure-temperature law, states that the pressure of a given mass of gas is directly proportional to its temperature, provided that the volume remains constant. This law can be mathematically expressed as:
P ∝ T
Where P is the absolute pressure of the gas and T is its absolute temperature.
Explanation
When the volume of a gas is kept constant, any increase in temperature will cause the gas molecules to move faster and collide with the walls of the container more frequently. This increase in collision frequency results in an increase in pressure.
On the other hand, if the temperature of the gas decreases, the gas molecules will slow down and collide with the walls of the container less frequently. This decrease in collision frequency leads to a decrease in pressure.
Therefore, when the volume is held constant, the pressure of the gas is directly proportional to its absolute temperature.
Example
Let's consider a fixed volume container filled with a gas. If we increase the temperature of the gas while keeping the volume constant, the pressure inside the container will also increase. Similarly, if we decrease the temperature, the pressure will decrease.
This relationship between pressure and temperature is important in various applications. For example, it is utilized in the working of internal combustion engines, where the pressure and temperature of the air-fuel mixture are increased by compression, leading to more efficient combustion.
In conclusion, Gay-Lussac's law states that the absolute pressure of a given mass of a perfect gas varies directly with its absolute temperature when the volume is kept constant. This law helps us understand the relationship between pressure and temperature in gases and is applicable in various fields of science and engineering.
Gay-Lussac's Law
Gay-Lussac's law, also known as the pressure-temperature law, states that the pressure of a given mass of gas is directly proportional to its temperature, provided that the volume remains constant. This law can be mathematically expressed as:
P ∝ T
Where P is the absolute pressure of the gas and T is its absolute temperature.
Explanation
When the volume of a gas is kept constant, any increase in temperature will cause the gas molecules to move faster and collide with the walls of the container more frequently. This increase in collision frequency results in an increase in pressure.
On the other hand, if the temperature of the gas decreases, the gas molecules will slow down and collide with the walls of the container less frequently. This decrease in collision frequency leads to a decrease in pressure.
Therefore, when the volume is held constant, the pressure of the gas is directly proportional to its absolute temperature.
Example
Let's consider a fixed volume container filled with a gas. If we increase the temperature of the gas while keeping the volume constant, the pressure inside the container will also increase. Similarly, if we decrease the temperature, the pressure will decrease.
This relationship between pressure and temperature is important in various applications. For example, it is utilized in the working of internal combustion engines, where the pressure and temperature of the air-fuel mixture are increased by compression, leading to more efficient combustion.
In conclusion, Gay-Lussac's law states that the absolute pressure of a given mass of a perfect gas varies directly with its absolute temperature when the volume is kept constant. This law helps us understand the relationship between pressure and temperature in gases and is applicable in various fields of science and engineering.
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According to Gay-Lussac law for a perfect gas, the absolute pressure o...
C
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According to Gay-Lussac law for a perfect gas, the absolute pressure of given mass varies directly asa)temperatureb)absolutec)absolute temperature, if volume is kept constantd)volume, if temperature is kept constante)remains constant, if volume and temperature are kept constantCorrect answer is option 'C'. Can you explain this answer?
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