Sulfur burns in oxygen to form sulfur dioxide. What is the massive of sulfur necessary to create 4 g of sulfur dioxide?
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Sulfur burns in oxygen to form sulfur dioxide. What is the mass of sulfur necessary to produce four grams the sulfur dioxide?
In this reaction, we have sulfur, symbol S, reacting v oxygen gas, O2, to create sulfur dioxide, SO2, i m sorry is likewise a gas under traditional conditions. The balanced equation is S solid add to O2 gas reacting to type SO2 gas. The reaction is an instance of a mix reaction because an ext than one reactant is combining with each other to form a new product. We have actually said that the equation is currently balanced. And in this case, the stochiometric coefficients room one is to one is to one. Using the coefficients, we can use the mole of one of the substances to determine the mole of an additional substance produced or needed.
at this point, we carry out not have any much more values. Let’s view what data us have. We are told that 4 grams of sulfur dioxide are essential to be produced, therefore we have the right to write this bit of information under SO2. Us are likewise asked what the massive of sulfur is that is required to develop this four grams of sulfur dioxide. Therefore under sulfur, we might write mass amounts to question mark. We room not given any kind of other data, and also we cannot directly determine the massive of sulfur required from the 4 grams that sulfur dioxide to it is in produced. We said we can only relate data native two various substances using the coefficients to recognize relative number of moles. For this reason our very first step is to shot determine the variety of moles for one of the substances.
If we have the right to work the end the molar massive of SO2, we can then use its mass and also molar mass with each other to recognize its variety of moles. Indigenous this, we can then identify the number of moles that sulfur required according come the mole proportion of the equation. We might then occupational out the molar fixed of sulfur indigenous the routine table. And also using this and also the variety of moles we simply calculated, we have the right to calculate the mass of sulfur necessary to produce four grams the sulfur dioxide. Therefore let’s start our calculations.
The very first step, us said, to be to recognize the molar fixed of SO2. Indigenous the periodic table, we acquire 32.06 as the molar mass of sulfur and also 15.999 together the molar mass for oxygen. Yet there space two oxygen atoms, so us multiply 15.999 by two. And we get 64.058 grams every mole. We have actually not been asked for a details number of far-reaching figures in this calculation. So for now, let’s store the three decimal places.
The next step, we said, was to recognize the variety of moles the SO2. If us take the mass given to us split by the molar massive we have actually just calculated, we acquire a number of moles the sulfur dioxide of 0.062 moles. We know from our well balanced equation the one mole of sulfur produces one mole of SO2. Now we deserve to relate the moles of SO2 we have actually just calculated, 0.062, to determine the mole of sulfur that is needed. And we see that the is the same number of moles. We require 0.062 moles of sulfur to produce 0.062 moles of sulfur dioxide.
stop now convert this mole value of sulfur to a fixed value. We will use the exact same equation together earlier, this time rearranged so that mass is the topic of the formula. Let’s clear a bit of room so that we have the right to do this calculation. We have the right to plug the mole worth for sulfur we have just calculated in because that the variety of moles. And also we recognize that the molar mass of sulfur is 32.06 grams every mole. We gain a mass of sulfur the 1.98772 grams, and also here I’ve preferred two decimal places. If we round off to 2 decimal places, we get 1.99 grams.
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Finally, the massive of sulfur necessary to produce four grams that sulfur dioxide is 1.99 grams.