# What volume will take 6.4 g of sulfur oxide (IV). What is the number of molecules in a given volume?

m (SO2) = 6.4 g.

Let’s determine the volume and number of molecules. We write down the solution.

First, we find the amount of sulfur oxide substance.

n = m / M.

M (SO2) = 32 + 16 * 2 = 64 g / mol.

n = 6.4 g / 64 g / mol = 0.1 mol.

Next, we find the number of molecules, for this we use the following formula.

N = n * Na.

Na – Avogardo’s number, constant equal to 6.02 * 10’23 molecules.

N = 0.1 mol * 6.02 * 10’23 = 6.02 * 10’22 molecules.

Next, we find the volume of the substance.

n = V / Vm.

V = n * Vm.

V = 0.1 mol * 22.4 L / mol = 2.24 L.

Answer: N = 6.02 * 10’22 molecules. V = 2.24 liters.

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