Early tables of atomic weights (masses) were generated by measuring the mass of a substance that reacts with 1.00 g of oxygen. Given the following data and taking the atomic mass of hydrogen as 1.00, generate a table of relative atomic masses for oxygen, sodium, and magnesium. How do your values compare with those in the periodic table? How do you account for any differences?

Short Answer

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The relative atomic masses of oxygen, sodium, and magnesium are calculated using the given experimental data that indicates the mass of each substance reacting with 1.00 g of oxygen. The calculated values are then compared with the periodic table values to identify any differences. Possible reasons for discrepancies could be the presence of isotopes in elements and experimental errors in the data.

Step by step solution

01

Understand the concept of relative atomic mass

Relative atomic mass represents the average mass of atoms of an element, taking into account the abundances of different isotopes. It is usual to take hydrogen as a reference, and its atomic mass is considered as 1.00. To calculate the relative atomic mass, we need the mass of a substance reacting with 1.00 g of oxygen. In this exercise, it is assumed that the substances are reacting in such a way that they combine with oxygen completely, forming simple oxides. It means that, for example, every 1 gram of oxygen reacts with a certain amount of sodium to form sodium oxide.
02

Calculate the relative atomic mass of oxygen

To calculate the relative atomic mass of oxygen, we need to know the mass of another substance that reacts with 1.00 g of oxygen. As the atomic mass of hydrogen is already given as 1.00, we can use the formation of water for this purpose. When hydrogen reacts with oxygen, it forms water with the formula H₂O. It means 2 moles of hydrogen (H₂) combine with 1 mole of oxygen (O). So, the mass of 1 mole of hydrogen = 2 * atomic mass of hydrogen = 2 * 1.00 = 2.00 g. As 2.00 g of hydrogen react with 1.00 g of oxygen, the oxygen's relative atomic mass can be calculated: Relative atomic mass of oxygen = mass of oxygen / mass of hydrogen = 1.00 g / 2.00 g = 0.50 The relative atomic mass of oxygen is found to be 0.50.
03

Calculate the relative atomic mass of sodium

Now, we need to find the mass of sodium that reacts with 1.00 g of oxygen. Suppose 'x' g of sodium reacts with 1.00 g of oxygen to form sodium oxide (Na₂O). As 2 moles of sodium (Na) combine with 1 mole of oxygen (O), we can write the following proportionality: x / (2 * atomic mass of sodium) = 1.00 g / atomic mass of oxygen Plugging in the relative atomic mass of oxygen found in step 2: x / (2 * atomic mass of sodium) = 1.00 g / 0.50 Now, we can isolate the term for the atomic mass of sodium: Atomic mass of sodium = x / (1.00 g / 0.50) = 2x To find the atomic mass of sodium, we need the mass of sodium reacting with 1.00 g of oxygen. Assuming we have this data, we can plug this value into the equation and find the atomic mass of sodium.
04

Calculate the relative atomic mass of magnesium

Similar to step 3, we can calculate the relative atomic mass of magnesium using the mass of magnesium reacting with 1.00 g of oxygen. Let's assume 'y' g of magnesium reacts with 1.00 g of oxygen to form magnesium oxide (MgO). As 1 mole of magnesium (Mg) combines with 1 mole of oxygen (O), we can write the following proportionality: y / atomic mass of magnesium = 1.00 g / atomic mass of oxygen Plugging in the relative atomic mass of oxygen found in step 2: y / atomic mass of magnesium = 1.00 g / 0.50 Now, we can isolate the term for the atomic mass of magnesium: Atomic mass of magnesium = y / (1.00 g / 0.50) = 2y To find the atomic mass of magnesium, we need the mass of magnesium reacting with 1.00 g of oxygen. Assuming we have this data, we can plug this value into the equation and find the atomic mass of magnesium.
05

Compare the calculated values with the periodic table values

Compare the calculated relative atomic masses of oxygen, sodium, and magnesium with the periodic table values. Check if there are any differences between the values.
06

Explain any differences observed in the values

If there are any differences between the calculated and periodic table values, some possible reasons could be: 1. The presence of isotopes in elements: The relative atomic mass calculations assume that the elements consist of only one isotope, while most elements have a mixture of isotopes. The periodic table values consider the abundances of these isotopes. 2. Experimental errors: The given data for reacting masses might have errors or might not be accurate enough. Understanding and explaining the differences will help in improving the accuracy of the calculated values and enhance the understanding of relative atomic mass and its relation to isotopes.

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