For the reaction shown, calculate how many grams of oxygen form when each quantity of reactant completely reacts.
2 KClO3(s) → 2 KCl(s) + 3 O2(g)
2.72 g KClO3
0.361 g KClO3
83.6 kg KClO3
22.5 mg KClO3

Respuesta :

The balanced chemical reaction is given as follows:

2 KClO3(s) → 2 KCl(s) + 3 O2(g)

The starting amount of the reactant are given above. These values would be used for the calculations. We do as follows:

2.72 g KClO3 (1 mol / 122.50g )( 3 mol O2 / 2 mol KClO3 ) ( 32 g O2 / 1 mol O2 ) = 1.06 g O2

0.361 g KClO3 
(1 mol / 122.50g )( 3 mol O2 / 2 mol KClO3 ) ( 32 g O2 / 1 mol O2 ) = 0.14 g O2

83.6 kg KClO3 (1000g / 1kg) 
(1 mol / 122.50g )( 3 mol O2 / 2 mol KClO3 ) ( 32 g O2 / 1 mol O2 ) = 3275.76 g O2

22.5 mg KClO3
 (1 g / 1000 mg) (1 mol / 122.50g )( 3 mol O2 / 2 mol KClO3 ) ( 32 g O2 / 1 mol O2 ) = 0.009 g O2

Answer :

The mass of oxygen form from 2.72 g [tex]KClO_3[/tex] is 1.06 grams.

The mass of oxygen form from 0.361 g [tex]KClO_3[/tex] is 0.141 grams.

The mass of oxygen form from 83.6 kg [tex]KClO_3[/tex] is 32.7 kilograms.

The mass of oxygen form from 22.5 mg [tex]KClO_3[/tex] is 8.81 milligrams.

Explanation :

The given chemical reaction is:

[tex]2KClO_3(s)\rightarrow 2KCl(s)+3O_2(g)[/tex]

Molar mass of [tex]KClO_3[/tex] = 122.55 g/mol

Molar mass of [tex]O_2[/tex] = 32 g/mol

For 2.72 g [tex]KClO_3[/tex] :

From the balanced chemical reaction we conclude that,

As, [tex]2\times 122.55[/tex] grams of [tex]KClO_3[/tex] decomposes to give [tex]3\times 32[/tex] grams of [tex]O_2[/tex]

So, [tex]2.72[/tex] grams of [tex]KClO_3[/tex] decomposes to give [tex]\frac{3\times 32}{2\times 122.55}\times 2.72=1.06[/tex] grams of [tex]O_2[/tex]

Thus, the mass of oxygen form from 2.72 g [tex]KClO_3[/tex] is 1.06 grams.

For 0.361 g [tex]KClO_3[/tex] :

From the balanced chemical reaction we conclude that,

As, [tex]2\times 122.55[/tex] grams of [tex]KClO_3[/tex] decomposes to give [tex]3\times 32[/tex] grams of [tex]O_2[/tex]

So, [tex]0.361[/tex] grams of [tex]KClO_3[/tex] decomposes to give [tex]\frac{3\times 32}{2\times 122.55}\times 0.361=0.141[/tex] grams of [tex]O_2[/tex]

Thus, the mass of oxygen form from 0.361 g [tex]KClO_3[/tex] is 0.141 grams.

For 83.6 kg [tex]KClO_3[/tex] :

From the balanced chemical reaction we conclude that,

As, [tex]2\times 122.55[/tex] grams of [tex]KClO_3[/tex] decomposes to give [tex]3\times 32[/tex] grams of [tex]O_2[/tex]

So, [tex]83.6kg[/tex] of [tex]KClO_3[/tex] decomposes to give [tex]\frac{3\times 32}{2\times 122.55}\times 83.6=32.7kg[/tex] of [tex]O_2[/tex]

Thus, the mass of oxygen form from 83.6 kg [tex]KClO_3[/tex] is 32.7 kilograms.

For 22.5 mg [tex]KClO_3[/tex] :

From the balanced chemical reaction we conclude that,

As, [tex]2\times 122.55[/tex] grams of [tex]KClO_3[/tex] decomposes to give [tex]3\times 32[/tex] grams of [tex]O_2[/tex]

So, [tex]22.5mg[/tex] of [tex]KClO_3[/tex] decomposes to give [tex]\frac{3\times 32}{2\times 122.55}\times 22.5=8.81mg[/tex] of [tex]O_2[/tex]

Thus, the mass of oxygen form from 22.5 mg [tex]KClO_3[/tex] is 8.81 milligrams.