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The burning of sulfur can be described by the following equation: S(s) + O2(g) → SO2(g) What volume of sulfur dioxide gas will be released at 25°C and 101.3 kPa when 8.00 g of sulfur is burnt? - HSC - SSCE Chemistry - Question 8 - 2001 - Paper 1

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The-burning-of-sulfur-can-be-described-by-the-following-equation:--S(s)-+-O2(g)-→-SO2(g)--What-volume-of-sulfur-dioxide-gas-will-be-released-at-25°C-and-101.3-kPa-when-8.00-g-of-sulfur-is-burnt?-HSC-SSCE Chemistry-Question 8-2001-Paper 1.png

The burning of sulfur can be described by the following equation: S(s) + O2(g) → SO2(g) What volume of sulfur dioxide gas will be released at 25°C and 101.3 kPa wh... show full transcript

Worked Solution & Example Answer:The burning of sulfur can be described by the following equation: S(s) + O2(g) → SO2(g) What volume of sulfur dioxide gas will be released at 25°C and 101.3 kPa when 8.00 g of sulfur is burnt? - HSC - SSCE Chemistry - Question 8 - 2001 - Paper 1

Step 1

Calculate the number of moles of sulfur burnt

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Answer

First, we need to find the molar mass of sulfur (S), which is approximately 32.07 g/mol.

Using the formula for moles:
n=mMn = \frac{m}{M}
where:

  • nn = number of moles,
  • mm = mass (8.00 g),
  • MM = molar mass (32.07 g/mol).

Calculating:
n=8.00extg32.07extg/mol0.249extmolesn = \frac{8.00 ext{ g}}{32.07 ext{ g/mol}} \approx 0.249 ext{ moles}

Step 2

Determine the volume of SO2 produced using the ideal gas law

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Answer

According to the reaction, 1 mole of sulfur produces 1 mole of sulfur dioxide (SO2). Therefore, 0.249 moles of sulfur will produce 0.249 moles of SO2 as well.

To find the volume of gas using the ideal gas law, we use:
PV=nRTPV = nRT
where:

  • PP = pressure in kPa (101.3 kPa),
  • VV = volume in liters,
  • nn = number of moles (0.249 moles),
  • RR = ideal gas constant (8.314 L·kPa/(K·mol)),
  • TT = temperature in Kelvin (25°C = 298 K).

Rearranging for volume, we have:
V=nRTPV = \frac{nRT}{P}
Substituting the values:
V=0.249extmoles×8.314extLkPa/(Kmol)×298extK101.3extkPa6.12extLV = \frac{0.249 ext{ moles} \times 8.314 ext{ L·kPa/(K·mol)} \times 298 ext{ K}}{101.3 ext{ kPa}} \approx 6.12 ext{ L}

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