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When coal is burned, the sulfur present in coal is converted to sulfur dioxide $\left(\mathrm{SO}_{2}\right),$ which is responsible for the acid rain phenomenon.$$\mathrm{S}(s)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{SO}_{2}(g)$$If $2.54 \mathrm{kg}$ of $\mathrm{S}$ are reacted with oxygen, calculate the volume of $\mathrm{SO}_{2}$ gas (in $\mathrm{mL}$ ) formed at $30.5^{\circ} \mathrm{C}$ and 1.12 atm.

The volume of formed $\mathrm{SO}_{2}$ is $1.76 \cdot 10^{6} \mathrm{mL}$

Chemistry 101

Chapter 5

Gases

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05:03

In physics, a gas is one of the three major states of matter (the others being liquid and solid). A gas is a fluid that does not support tensile stress, meaning that it is compressible. The word gas is a neologism first used by the early 17th-century Flemish chemist J.B. van Helmont, based on the Greek word ("chaos"), the simplest of all the elemental forms of matter.

04:46

In physics, thermodynamics is the science of energy and its transformations. The three laws of thermodynamics state that energy can be exchanged between physical systems as heat and work; that the total energy of a system can be calculated by adding up all forms of energy in the system; that energy spontaneously flows from being localized to becoming dispersed, spread out, or uniform; and that the entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium.

03:50

When coal is burned, the s…

02:35

answer

01:10

One liter of sulfur vapor,…

01:06

A particular coal sample c…

02:33

The annual production of s…

Given information for the above problem is we have equation here: sulphur in solid state plus oxygen gaseous state- and we have here- sulphur dioxide in gaseous state, so here 2.54 kg of sulphur sulphur or are reacted with oxygen, reacted with oxygen, oxygen and temperature t denoted by T is equal to. We have here 30.5 degrees centigrade, plus we have to convert it into kelvin temperature to 73. Kelvin is equal to 303.5 kelvin. Next is pressure is equal to 1.128 m, and next we have general gas constant or ideal gas. Constant r is equal to constant value, is 0.08 and 21 liter. A t m per mole lets, let's calculate calculate the volume of the volume of formed formed, so 2 gases. Gas is in ml milliliter from the balanxe from the balanced equation, balanced equation for the reaction. Above above we can see that see that 1 mole o sulphur sulfhurgues 1 mole of sulphur dioxide is o 2. Let'S convert lets convert mass of sulphur sulphur from kilograms kilograms, 2 grams. So here we have 2.54 kilo. Gram, total 1000 gram divide by 1 kg is equal to 252540 gram and half. How many? How many moles of sulphur are reacted, reacted with oxygen here we have to calculate at how many moles of sulphur are reacted with oxygen, so mole n is equal to m by m calculated mass out of the molar mass is equal to. We have here putting values: 2540 g out of molar mass is 32.072 gram per mole, so here value of n i n is equal to. We have 79.2 mole, so next we have to calculate so. We can calculate that we can calculate that culated. 739.2. Moles of sulphur s gives 79.2 moles of s o 2. So, according to the ideal, according to the ideal guess, ideal guess, law and given information and given information, p v is equal to n r t here here. V is equal to n r t divide by p, so we have here renuesso. Here we put the values in the above formula: 79.2 moles into 0.08821 at m liter per mole, kelvin and 303 point fie kelvin divide by we have 1.128 e m, so volume is equal to. We have 1762.01 liter. So next we have let's convert leaders in milliliters. Let'S convert liters in 2 milliliters milliliters, so we have 1762.01 milliliters into 1000 milliliters divide by 1. Liter is equal to. We have 1.76 multiplied and raised to the power 6 milliliters. So the volume the volume of formed formed sulphur dioxide is 1.76 multiply, 10 raised to the power 6 milliliters.

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