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If n atoms of element A weigh 15 g and 4n atoms of element B whose atomic weight is 30u weigh 45g determine the atomic weight of A?
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If n atoms of element A weigh 15 g and 4n atoms of element B whose ato...
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If n atoms of element A weigh 15 g and 4n atoms of element B whose ato...
Understanding the Problem
We have two elements, A and B, with given weights and quantities of their atoms. We will determine the atomic weight of element A based on the information provided.
Given Data
- n atoms of element A weigh 15 g
- 4n atoms of element B (atomic weight = 30 u) weigh 45 g
Calculating Atomic Weight of B
- To find the number of moles of B:
- Moles of B = Mass / Molar mass = 45 g / 30 g/mol = 1.5 moles
- Since 4n atoms correspond to 1.5 moles:
- 4n = 1.5 * Avogadro's number (6.022 x 10^23 atoms/mol)
- n = (1.5 * 6.022 x 10^23) / 4 = 2.26 x 10^23 atoms
Finding Atomic Weight of A
- We know n atoms of A weigh 15 g:
- Weight of 1 atom of A = Total weight / Number of atoms = 15 g / n
- Calculate the number of moles of A:
- Moles of A = n / Avogadro's number
- The molar mass (atomic weight) of A can be calculated:
- Atomic weight of A = Mass / Moles = 15 g / (n / 6.022 x 10^23)
Substituting for n
- We previously calculated n = 2.26 x 10^23 atoms
- Thus, substituting into the equation:
- Atomic weight of A = 15 g / (2.26 x 10^23 / 6.022 x 10^23)
- Atomic weight of A = 15 g * (6.022 x 10^23 / 2.26 x 10^23)
Final Calculation
- The atomic weight of A is approximately 4u.
Through these calculations, we determine that the atomic weight of element A is around 4 u.
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Attempt All sub parts from each question.Atomic Hypothesis in Ancient India and Greece Though John Dalton is credited with the introduction of atomic view point in modern science, scholars in ancient India and Greece conjectured long before the existence of atoms and molecules. In the Vaisheshika school of thought in India founded by Kanada (Sixth century B.C.) the atomic picture was developed in considerable detail. Atoms were thought to be eternal, indivisible, infinitesimal and ultimate parts of matter. It was argued that if matter could be subdivided without an end, there would be no difference between a mustard seed and the Meru mountain. The four kinds of atoms (Paramanu — Sanskrit word for the smallest particl e) postulated were Bhoomi (Earth), Ap (water), Tejas (fire) and Vayu (air) that have characteristic mass and other attributes, we re propounded. Akasa (space) was thought to have no atomic structure and was continuous and inert. Atoms combine to form different molecules (e.g. two atoms combine to form a diatomic molecule dvyanuka, three atoms form a tryanuka or a triatomic molecule), their properties depending upon the nature and ratio of the constituent atoms. The size of the atoms was also estimated, by conjecture or by methods that are not known to us. The estimates vary. In Lalitavistara, a famous biography of the Buddha written mainly in the second century B.C., the estimate is close to the modern estimate of atomic size, of the order of 10–10 m. In ancient Greece, Democritus (Fourth century B.C.) is best known for his atomic hypothesis. The word ‘atom’ means ‘indivisible’ in Greek. According to him, atoms differ from each other physically, in shape, size and other properties and this resulted in the different properties of the substances formed by their combination. The atoms of water were smooth and round and unable to ‘hook’ on to each other, which is why liquid /water flows easily. The atoms of earth were rough and jagged, so they held together to form hard substances. The atoms of fire were thorny which is why it caused painful burns. These fascinating ideas, despite their ingenuity, could not evolve much further, perhaps because they were intuitive conjectures and speculations not tested and modified by quantitative experiments–the hallmark of modern science.Q. In Greek, “atom” means

Attempt All sub parts from each question.Atomic Hypothesis in Ancient India and Greece Though John Dalton is credited with the introduction of atomic view point in modern science, scholars in ancient India and Greece conjectured long before the existence of atoms and molecules. In the Vaisheshika school of thought in India founded by Kanada (Sixth century B.C.) the atomic picture was developed in considerable detail. Atoms were thought to be eternal, indivisible, infinitesimal and ultimate parts of matter. It was argued that if matter could be subdivided without an end, there would be no difference between a mustard seed and the Meru mountain. The four kinds of atoms (Paramanu — Sanskrit word for the smallest particl e) postulated were Bhoomi (Earth), Ap (water), Tejas (fire) and Vayu (air) that have characteristic mass and other attributes, we re propounded. Akasa (space) was thought to have no atomic structure and was continuous and inert. Atoms combine to form different molecules (e.g. two atoms combine to form a diatomic molecule dvyanuka, three atoms form a tryanuka or a triatomic molecule), their properties depending upon the nature and ratio of the constituent atoms. The size of the atoms was also estimated, by conjecture or by methods that are not known to us. The estimates vary. In Lalitavistara, a famous biography of the Buddha written mainly in the second century B.C., the estimate is close to the modern estimate of atomic size, of the order of 10–10 m. In ancient Greece, Democritus (Fourth century B.C.) is best known for his atomic hypothesis. The word ‘atom’ means ‘indivisible’ in Greek. According to him, atoms differ from each other physically, in shape, size and other properties and this resulted in the different properties of the substances formed by their combination. The atoms of water were smooth and round and unable to ‘hook’ on to each other, which is why liquid /water flows easily. The atoms of earth were rough and jagged, so they held together to form hard substances. The atoms of fire were thorny which is why it caused painful burns. These fascinating ideas, despite their ingenuity, could not evolve much further, perhaps because they were intuitive conjectures and speculations not tested and modified by quantitative experiments–the hallmark of modern science.Q. In ancient Greece, who is best known for his atomic hypothesis?

Attempt All sub parts from each question.Atomic Hypothesis in Ancient India and Greece Though John Dalton is credited with the introduction of atomic view point in modern science, scholars in ancient India and Greece conjectured long before the existence of atoms and molecules. In the Vaisheshika school of thought in India founded by Kanada (Sixth century B.C.) the atomic picture was developed in considerable detail. Atoms were thought to be eternal, indivisible, infinitesimal and ultimate parts of matter. It was argued that if matter could be subdivided without an end, there would be no difference between a mustard seed and the Meru mountain. The four kinds of atoms (Paramanu — Sanskrit word for the smallest particl e) postulated were Bhoomi (Earth), Ap (water), Tejas (fire) and Vayu (air) that have characteristic mass and other attributes, we re propounded. Akasa (space) was thought to have no atomic structure and was continuous and inert. Atoms combine to form different molecules (e.g. two atoms combine to form a diatomic molecule dvyanuka, three atoms form a tryanuka or a triatomic molecule), their properties depending upon the nature and ratio of the constituent atoms. The size of the atoms was also estimated, by conjecture or by methods that are not known to us. The estimates vary. In Lalitavistara, a famous biography of the Buddha written mainly in the second century B.C., the estimate is close to the modern estimate of atomic size, of the order of 10–10 m. In ancient Greece, Democritus (Fourth century B.C.) is best known for his atomic hypothesis. The word ‘atom’ means ‘indivisible’ in Greek. According to him, atoms differ from each other physically, in shape, size and other properties and this resulted in the different properties of the substances formed by their combination. The atoms of water were smooth and round and unable to ‘hook’ on to each other, which is why liquid /water flows easily. The atoms of earth were rough and jagged, so they held together to form hard substances. The atoms of fire were thorny which is why it caused painful burns. These fascinating ideas, despite their ingenuity, could not evolve much further, perhaps because they were intuitive conjectures and speculations not tested and modified by quantitative experiments–the hallmark of modern science.Q. Which of the followings was thought to have no atomic structure and was continuous and inert?

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If n atoms of element A weigh 15 g and 4n atoms of element B whose atomic weight is 30u weigh 45g determine the atomic weight of A?
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