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Taking into account the room temperature and pressure, there are 0.4167 moles in 10 dm³ of sulfur dioxide gas.

RTP refers to Room Temperature and Pressure. Pressure is 1 atm and Temperature is 298K. In this case, one mole of any gas has a volume of 24 dm³ or 24,000 cm³. This volume is called the molar volume of a gas.

In other words, the molar volume (the amount of space occupied by one mole) of any gas is 24dm³ (1 mol of gas molecules occupies 24.0 dm³).

Therefore, the amount of volume occupied by any gas can be calculated by multiplying the number of moles of gas by 24dm³:

Volume = Moles of gas× 24 dm³

So, the number of moles can be calculated as:

Moles of gas= Volume÷ 24 dm³

In this case, you know that volume if sulfur dioxide gas is 10 dm³. So, replacing:

Moles of gas= 10 dm³ ÷ 24 dm³

Solving:

Moles of gas= 0.4167

Finally, there are 0.4167 moles in 10 dm³ of sulfur dioxide gas.

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