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BCA table lecture

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Stoichiometry 1<br />

<strong>BCA</strong> Method<br />

1.Lead will react with hydrochloric acid to<br />

produce lead chloride and hydrogen gas.<br />

How many moles of hydrochloric acid are<br />

needed to completely react with 4.0 mole<br />

of lead?<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

1. Lead will react with hydrochloric acid<br />

to produce lead chloride and hydrogen<br />

gas. How many moles of hydrochloric<br />

acid are needed to completely react with<br />

4.0 mole of lead?<br />

1.Lead will react with hydrochloric acid to<br />

produce lead chloride and hydrogen gas.<br />

How many moles of hydrochloric acid are<br />

needed to completely react with 4.0 mole<br />

of lead?<br />

Equation:<br />

Pb +<br />

2 HCl<br />

→ PbCl 2<br />

+ H 2<br />

Equation:<br />

Pb +<br />

2 HCl<br />

→ PbCl 2<br />

+ H 2<br />

Before:<br />

Before:<br />

4.0 mol<br />

XS<br />

0 mol<br />

0 mol<br />

Change:<br />

Change:<br />

After:<br />

After:<br />

1


What are the ratios?<br />

Equation: Pb + 2 HCl → PbCl 2 + H 2<br />

Pb : HCl is 1:2 ratio (you need twice (2/1) as much HCl)<br />

Pb : PbCl 2 is 1:1 ratio<br />

Pb : H 2 is 1:1 ratio<br />

HCl : PbCl 2 is 2:1 ratio<br />

HCl : H 2 is 2:1 ratio<br />

PbCl 2 : H 2 is 1:1 ratio<br />

1.Lead will react with hydrochloric acid to<br />

produce lead chloride and hydrogen gas.<br />

How many moles of hydrochloric acid are<br />

needed to completely react with 4.0 mole<br />

of lead?<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

Pb +<br />

4.0 mol<br />

-4.0 mol<br />

2 HCl<br />

XS<br />

-8.0 mol<br />

TWICE AS<br />

MANY AS Pb<br />

→ PbCl 2<br />

0 mol<br />

4.0 mol<br />

+ H 2<br />

0 mol<br />

4.0 mol<br />

Complete calculations on the side<br />

1.Lead will react with hydrochloric acid to<br />

produce lead chloride and hydrogen gas.<br />

How many moles of hydrochloric acid are<br />

needed to completely react with 4.0 mole<br />

of lead?<br />

In this case, desired answer is in<br />

moles<br />

If mass is required, convert moles<br />

to grams in the usual way<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

Pb +<br />

4.0 mol<br />

-4.0 mol<br />

0<br />

2 HCl<br />

XS<br />

-8.0 mol<br />

XS<br />

→ PbCl 2<br />

0 mol<br />

4.0 mol<br />

4.0 mol<br />

+ H 2<br />

0 mol<br />

4.0 mol<br />

4.0 mol<br />

36.46g<br />

8 .0moles HCl × = 291.68g<br />

1mole<br />

Sig Figs: 2.9 x 10 2 g<br />

2


2. How many moles of hydrogen gas will be<br />

produced if 2.5 moles of calcium hydride<br />

react according to the following equation?<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

CaH 2 +<br />

2 H 2 O →<br />

Ca(OH) 2<br />

+2 H 2<br />

2. How many moles of hydrogen gas will be<br />

produced if 2.5 moles of calcium hydride<br />

react according to the following equation?<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

CaH 2 +<br />

2.5 mol<br />

2 H 2 O →<br />

XS<br />

Ca(OH) 2<br />

0 mol<br />

+2 H 2<br />

0 mol<br />

What are the ratios?<br />

Equation: CaH 2 + 2 H 2 O → Ca(OH) 2 +2 H 2<br />

CaH 2 : H 2 O is 1:2 ratio<br />

CaH 2 : Ca(OH) 2 is 1:1 ratio<br />

CaH 2 : H 2 is 1:2 ratio (you produce twice (2/1) as much H 2 )<br />

H 2 O : Ca(OH) 2 is 2:1 ratio<br />

H 2 O : H 2 is 2:2 ratio which reduces to 1:1<br />

H 2 : Ca(OH) 2 is 2:1 ratio<br />

2. How many moles of hydrogen gas will be<br />

produced if 2.5 moles of calcium hydride<br />

react according to the following equation?<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

CaH 2 +<br />

2.5 mol<br />

-2.5 mol<br />

2 H 2 O →<br />

XS<br />

-5.0 mol<br />

Ca(OH) 2<br />

0 mol<br />

2.5 mol<br />

+2 H 2<br />

0 mol<br />

5.0 mol<br />

TWICE AS<br />

MUCH AS CaH 2<br />

3


2. How many moles of hydrogen gas will be<br />

produced if 2.5 moles of calcium hydride<br />

react according to the following equation?<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

CaH 2 +<br />

2.5 mol<br />

-2.5 mol<br />

0<br />

2 H 2 O →<br />

XS<br />

-5.0 mol<br />

XS<br />

Ca(OH) 2<br />

0 mol<br />

2.5 mol<br />

2.5 mol<br />

+2 H 2<br />

0 mol<br />

5.0 mol<br />

5.0 mol<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

3. How many moles of water will be<br />

produced if 0.45 mol of oxygen reacts<br />

according to the following equation?<br />

2 C 6 H 6 +<br />

15 O 2<br />

→ 12 CO 2<br />

+ 6 H 2 O<br />

What are the ratios?<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

3. How many moles of water will be<br />

produced if 0.45 mol of oxygen reacts<br />

according to the following equation?<br />

2 C 6 H 6 +<br />

XS<br />

15 O 2<br />

0.45 mol<br />

→ 12 CO 2<br />

0 mol<br />

+ 6 H 2 O<br />

0 mol<br />

Equation: 2 C 6 H 6 + 15 O 2 → 12 CO 2 + 6 H 2 O<br />

C 6 H 6 : O 2 is 2:15 ratio<br />

C 6 H 6 : CO 2 is 2:12 ratio = 1:6<br />

C 6 H 6 : H 2 O is 2:6 ratio = 1:3<br />

O 2 : CO 2 is 15:12 ratio<br />

O 2 : H 2 O is 15:6 ratio = 5:2 (you produce 2/5 as much H 2 O)<br />

CO 2 : H 2 O is 12:6 ratio = 2:1<br />

4


Use Mole Ratios to Calculate<br />

2 C 6 H 6 + 15 O 2 → 12 CO 2 + 6<br />

H 2 O<br />

15 mol O 2 will produce 6 mol H 2 O<br />

6mol 2mol<br />

H<br />

O<br />

0 .45mol<br />

O<br />

×<br />

2<br />

=<br />

0.18mol<br />

H<br />

O<br />

2<br />

15mol<br />

O<br />

2<br />

2<br />

Equation:<br />

Before:<br />

Change:<br />

After:<br />

3. How many moles of water will be<br />

produced if 0.45 mol of oxygen reacts<br />

according to the following equation?<br />

2 C 6 H 6 +<br />

XS<br />

-0.06 mol<br />

15 O 2<br />

0.45 mol<br />

-0.45 mol<br />

→ 12 CO 2<br />

0 mol<br />

0.36 mol<br />

+ 6 H 2 O<br />

0 mol<br />

0.18 mol<br />

2/5 AS MANY<br />

AS O 2<br />

Equation:<br />

3. How many moles of water will be<br />

produced if 0.45 mol of oxygen reacts<br />

according to the following equation?<br />

2 C 6 H 6 +<br />

15 O 2<br />

→ 12 CO 2<br />

+ 6 H 2 O<br />

Before:<br />

XS<br />

0.45 mol<br />

0 mol<br />

0 mol<br />

Change:<br />

-0.06 mol<br />

-0.45 mol<br />

0.36 mol<br />

0.18 mol<br />

After:<br />

XS<br />

0<br />

0.36 mol<br />

0.18 mol<br />

5

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