The question being...
Calculate the mass of potassium chlorate needed to prepare 5.00 L of oxygen gas at 24.0 'C and 0.950 atm. (When using atmospheres, the gas constant, R = 0.0821 L/atm//mol -7/K-1).
The equation is KClO3 --> KCl + 3/2 O2.
Therefore:
P= 0.950 atm
V= 5.00 L
n= PV
RT
R= 0.0821 L/atm/mol-7/K-1
T= 297K
Therefore the number of moles in O2 is...
n = (0.950 atm * 5.00 L)
( 0.0821 L/atm/mol-7/K-1 * 297 K)
= 0.195 mol-7
Therefore make your ratios
x mol 0.195 mol
KClO3 O2
1 mol 1.5 mol
x mol = 0.195 mol
1 mol 1.5 mol
x mol = 0.13 mol
The mass of KClO3 = 122.6 g/mol
Therefore 0.13 mol * 122.6 g/mol = 15.9 g
The mass of potassium chlorate needed is 15.9 g
Does this look correct to you?