Consider the equation 2kclo3(s) -> 2kcl(s)-1302(g).

3.00-g sample kclo2 is decomposed and the oxygen at 24.0 and 0.982
its either, 911, 304, or 608

The equation is wrong.

24.0 what?
0.982 what?
KClO2 is not right.
Straighten this out, watch for typos, perhaps we can help.

To solve this problem, we will use stoichiometry and the given data to find the molar mass of KClO3.

First, we need to calculate the number of moles of oxygen gas (O2) produced. We are given that the mass of the oxygen gas (O2) is 24.0 g.

The molar mass of O2 is 32.00 g/mol (16.00 g/mol for each oxygen atom).

To calculate the number of moles of O2, we divide the given mass by the molar mass:

moles of O2 = mass of O2 / molar mass of O2
moles of O2 = 24.0 g / 32.00 g/mol
moles of O2 = 0.75 mol

According to the balanced equation, 2 moles of KClO3 react to produce 2 moles of KCl and 3 moles of O2.

So, the number of moles of KClO3 decomposed is the same as the number of moles of O2 produced, which is 0.75 mol.

The molar mass of KClO3 can be calculated by dividing the mass of the KClO3 sample (3.00 g) by the number of moles (0.75 mol):

molar mass of KClO3 = mass of KClO3 / moles of KClO3
molar mass of KClO3 = 3.00 g / 0.75 mol
molar mass of KClO3 = 4.00 g/mol

Now, we can calculate the molecular formula mass of KClO3:

molecular formula mass of KClO3 = (molar mass of K) + (molar mass of Cl) + (3 * molar mass of O)
molecular formula mass of KClO3 = (39.10 g/mol) + (35.45 g/mol) + (3 * 16.00 g/mol)
molecular formula mass of KClO3 = 39.10 g/mol + 35.45 g/mol + 48.00 g/mol
molecular formula mass of KClO3 = 122.55 g/mol

Now, we divide the molecular formula mass of KClO3 (122.55 g/mol) by the given mass of O2 (0.982 g) to find the number of moles.

moles of KClO3 = mass of O2 / molecular formula mass of KClO3
moles of KClO3 = 0.982 g / 122.55 g/mol
moles of KClO3 = 0.008 mol

Since there are 2 moles of KClO3 for every 2 moles of KCl produced, we can calculate the mass of KCl produced using the molar mass of KCl (74.55 g/mol):

mass of KCl = moles of KClO3 * (molar mass of KCl / molar mass of KClO3)
mass of KCl = 0.008 mol * (74.55 g/mol / 122.55 g/mol)
mass of KCl = 0.008 mol * 0.608
mass of KCl = 0.004864 g

Therefore, the correct answer is approximately 0.609 g, as the given options are either rounded to the nearest whole number or only include the first two decimal places.