Question

5. How many grams of tin metal can be produced from smelting (heating) of a 4.5 kilograms of tin (IV) oxide? (Note: Elemental tin and oxygen gas are the only products of this reaction).

Answer 1

Answer:

About 3500 grams of tin.

Explanation:

We want to determine amount of tin metal (in grams) that can be produced from smelting 4.5 kilograms of tin(IV) oxide.

First, write the chemical compound. Since our cation is tin(IV), it forms a 3+ charge. Oxygen has a 2- charge, so we will have two oxygen atoms. Hence, tin(IV) oxide is given by SnO₂.

By smelting it, we acquire elemental tin and oxygen gas. Hence:

$\text{SnO _2 }\rightarrow \text{Sn} + \text{O _2 }$

(Note: oxygen is a diatomic element.)

The equation is balanced as well.

To convert from SnO₂ to only Sn, we can first convert from grams of SnO₂ to moles, use mole ratios to convert to moles of Sn, and then from there convert to grams.

Since Sn has a molar mass of 118.71 g/mol and oxygen has a molar mass of 15.999 g/mol, the molar mass of SnO₂ is:

$(118.71)+2(15.999) = 150.708\text{ g/mol}$

Therefore, given 4.5 kilograms of SnO₂, we can first convert this into grams using 1000 g / kg and then using the ratio:

$\displaystyle \frac{1\text{ mol SnO _2 }}{150.708\text{ g SnO _2 }}$

We can convert this into moles.

Next, from the chemical equation, we can see that one mole of SnO₂ produces exactly one mole of Sn (and also one mole of O₂). So, our mole ratio is:

$\displaystyle \frac{1\text{ mol Sn}}{1\text{ mol SnO _2 }}$

With SnO₂ in the denominator to simplify units.

Finally, we can convert from moles Sn to grams Sn using its molar mass:

$\displaystyle \frac{118.71\text{ g Sn}}{1\text{ mol Sn}}$

With the initial value and above ratios, we acquire:

$\displaystyle 4.5\text{ kg SnO _2 }\cdot \frac{1000 \text{ g SnO _2 }}{1\text{ kg SnO _2 }}\cdot \displaystyle \frac{1\text{ mol SnO _2 }}{150.708\text{ g SnO _2 }}\cdot \displaystyle \frac{1\text{ mol Sn}}{1 \text{ mol SnO _2 }} \cdot\displaystyle \frac{118.71\text{ g Sn}}{1\text{ mol Sn}}$

Cancel like units:

$=\displaystyle 4.5\cdot \frac{1000}{1}\cdot \displaystyle \frac{1}{150.708}\cdot \displaystyle \frac{1}{1} \cdot\displaystyle \frac{118.71\text{ g Sn}}{1}$

Multiply. Hence:

$\displaystyle = 3544.5696...\text{ g Sn}$

Since we should have two significant figures:

$=3500 \text{ g Sn}$

So, about 3500 grams of tin is produced from smelting 4.5 kg of tin(IV) oxide.

Answer 2

Answer:

3.54 kilograms

Explanation:

Tin (IV) oxide's formula is SnO2 and smelting is a reduction reaction.

Given elemental tin and oxygen gas are the only products of this reaction, it can be represented by the equation:  SnO2 -> Sn + O2

From the equation, the molar ratio of SnO2 and Sn is 1:1.

Molar mass of Sn = 118.71 g

Molar mass of SnO2 = 150.71 g

Assuming 100% yield, 4.5 kg of SnO2 can produce 4.5/150.71 * 118.71 = 3.54 kg of Sn.