Mechanical Engineering Exam > Mechanical Engineering Questions > According to Avogadros lawa)the product of th...
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According to Avogadro's law
- a)the product of the gas constant and the molecular mass of an ideal gas is constant
- b)the sum of partial pressure of the mixture oftwo gases is sum of the two
- c)equal volumes of all gases, at the same temperature and pressure, contain equalnumber of molecules
- d)all of the above
Correct answer is option 'C'. Can you explain this answer?
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According to Avogadros lawa)the product of the gas constant and the mo...
According to Avogadro's law, equal volumes of gases at the same temperature and pressure will contain an equal number of molecules. This law is an important principle in the field of gas laws and helps to explain the behavior of gases.
Explanation:
Avogadro's law states that the volume of a gas is directly proportional to the number of molecules present, as long as the temperature and pressure remain constant. This means that if the volume of a gas is doubled, the number of molecules will also double. Similarly, if the volume is halved, the number of molecules will be halved as well.
The law is based on the concept of the mole, which is a unit used to measure the amount of substance. One mole of any substance contains Avogadro's number of particles, which is approximately 6.022 x 10^23. This number is a constant and represents the number of atoms or molecules in one mole of a substance.
When considering gases, Avogadro's law tells us that one mole of any gas will occupy the same volume at the same temperature and pressure. This means that if we have two different gases, both at the same temperature and pressure, and we take one mole of each gas, the volume occupied by each gas will be the same.
This law is particularly useful when comparing the behavior of gases in chemical reactions. It allows us to determine the stoichiometry of a reaction by looking at the volume ratios of the reactants and products. For example, if we have a reaction between two gases, and we know the volume ratio of the reactants and products, we can determine the mole ratio and hence the stoichiometry of the reaction.
In conclusion, Avogadro's law states that equal volumes of gases, at the same temperature and pressure, will contain an equal number of molecules. This law helps to explain the behavior of gases and is an important principle in the field of gas laws.
Explanation:
Avogadro's law states that the volume of a gas is directly proportional to the number of molecules present, as long as the temperature and pressure remain constant. This means that if the volume of a gas is doubled, the number of molecules will also double. Similarly, if the volume is halved, the number of molecules will be halved as well.
The law is based on the concept of the mole, which is a unit used to measure the amount of substance. One mole of any substance contains Avogadro's number of particles, which is approximately 6.022 x 10^23. This number is a constant and represents the number of atoms or molecules in one mole of a substance.
When considering gases, Avogadro's law tells us that one mole of any gas will occupy the same volume at the same temperature and pressure. This means that if we have two different gases, both at the same temperature and pressure, and we take one mole of each gas, the volume occupied by each gas will be the same.
This law is particularly useful when comparing the behavior of gases in chemical reactions. It allows us to determine the stoichiometry of a reaction by looking at the volume ratios of the reactants and products. For example, if we have a reaction between two gases, and we know the volume ratio of the reactants and products, we can determine the mole ratio and hence the stoichiometry of the reaction.
In conclusion, Avogadro's law states that equal volumes of gases, at the same temperature and pressure, will contain an equal number of molecules. This law helps to explain the behavior of gases and is an important principle in the field of gas laws.
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According to Avogadros lawa)the product of the gas constant and the mo...
According to Avogadro's law, equal volumes of all gases, at the same temperature and pressure, contain an equal number of molecules. This law is based on the concept that gases consist of particles (atoms or molecules) that are in constant motion.
Now, let's discuss each option to understand why option 'C' is the correct answer:
a) The product of the gas constant and the molecular mass of an ideal gas is constant:
This statement is not true according to Avogadro's law. The gas constant (denoted by R) is a constant value that relates the physical properties of gases. It does not depend on the molecular mass of the gas. Avogadro's law states that equal volumes of gases at the same temperature and pressure contain an equal number of molecules, regardless of their molecular masses. Therefore, the product of the gas constant and the molecular mass of an ideal gas is not constant.
b) The sum of the partial pressure of the mixture of two gases is the sum of the two:
This statement is known as Dalton's law of partial pressures, not Avogadro's law. According to Dalton's law, the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of each individual gas. This law is based on the assumption that gas molecules do not interact with each other.
c) Equal volumes of all gases, at the same temperature and pressure, contain an equal number of molecules:
This statement accurately represents Avogadro's law. It states that equal volumes of gases, when measured at the same temperature and pressure, will contain an equal number of molecules. This means that the number of particles (atoms or molecules) in a gas is directly proportional to its volume. Avogadro's law helps in understanding the relationship between the volume and the amount of gas, allowing for calculations involving the stoichiometry of gases.
Therefore, the correct answer is option 'C' because Avogadro's law specifically relates to the equality in the number of molecules in equal volumes of gases at the same temperature and pressure.
Now, let's discuss each option to understand why option 'C' is the correct answer:
a) The product of the gas constant and the molecular mass of an ideal gas is constant:
This statement is not true according to Avogadro's law. The gas constant (denoted by R) is a constant value that relates the physical properties of gases. It does not depend on the molecular mass of the gas. Avogadro's law states that equal volumes of gases at the same temperature and pressure contain an equal number of molecules, regardless of their molecular masses. Therefore, the product of the gas constant and the molecular mass of an ideal gas is not constant.
b) The sum of the partial pressure of the mixture of two gases is the sum of the two:
This statement is known as Dalton's law of partial pressures, not Avogadro's law. According to Dalton's law, the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of each individual gas. This law is based on the assumption that gas molecules do not interact with each other.
c) Equal volumes of all gases, at the same temperature and pressure, contain an equal number of molecules:
This statement accurately represents Avogadro's law. It states that equal volumes of gases, when measured at the same temperature and pressure, will contain an equal number of molecules. This means that the number of particles (atoms or molecules) in a gas is directly proportional to its volume. Avogadro's law helps in understanding the relationship between the volume and the amount of gas, allowing for calculations involving the stoichiometry of gases.
Therefore, the correct answer is option 'C' because Avogadro's law specifically relates to the equality in the number of molecules in equal volumes of gases at the same temperature and pressure.
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According to Avogadros lawa)the product of the gas constant and the molecular mass of an ideal gas is constantb)the sum of partial pressure of the mixture oftwo gases is sum of the twoc)equal volumes of all gases, at the same temperature and pressure, contain equalnumber of moleculesd)all of the aboveCorrect answer is option 'C'. Can you explain this answer?
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