When coal is burned, the sulfur present in coal is converted to sulfur dioxide (SO2), which is responsible for the acid rain phenomenon. S(s) + O2(g) → SO2(g) If 4.10 kg of S are reacted with oxygen, calculate the volume of SO2 gas (in mL) formed at 30°C and 1.16 atm.

Answer : The volume of gas is,

Explanation : Given,

Mass of S = 4.10 kg = 4100 g      (1 kg = 1000 g)

Molar mass of S = 32 g/mol

First we have to calculate the moles of S.

Now we have to calculate the moles of

The balanced chemical reaction is:

From the balanced reaction, we conclude that

As, 1 mole of react to give 1 mole of

So, 128.125 mole of react to give 128.125 mole of

Now we have to calculate the volume of by using ideal gas equation.

where,

P = Pressure of gas = 1.16 atm

V = Volume of gas = ?

n = number of moles  = 128.125 mole

R = Gas constant =

T = Temperature of gas =

Putting values in above equation, we get:

    (1 L = 1000 mL)

Therefore, the volume of gas is,