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At the given conditions, 1 mole of any gas occupies 24.1dm3.
The decomposition reaction of potassium chlorate is:
2KClO3(s) --→ 2KCl(s) + 3O2(g)
No of moles of KClO3= given mass/molar mass= 6.32g/122.55g/mol=0.0515mol.
Therefore, moles of O2 produced= 3/2 * moles of KClO3= 3/2 * 0.0515mol=0.0773mol.
Volume of O2 produced at 105kPa and 300K = moles * molar volume =0.0773mol * 24.1dm3/mol = 1.87dm3