If you are looking to make an explosion, just drop some elemental cesium into water: Cs + 2H2O → Cs(OH)2 + H2. If you are looking to make a big boom and want to produce 200.0 mol of hydrogen gas, how many moles of Cs would you need? NOTE: All numbers located immediately after elemental symbols should be considered subscripts.

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10-03-2024
Chemistry

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If you are looking to make an explosion, just drop some elemental cesium into water: Cs + 2H2O → Cs(OH)2 + H2. If you are looking to make a big boom and want to produce 200.0 mol of hydrogen gas, how many moles of Cs would you need? NOTE: All numbers located immediately after elemental symbols should be considered subscripts.

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KitdaAneek KitdaAneek · Answer 1 · 2024-03-10T17:09:09+01:00

Answer:

[tex]200.0 ~\text{mol Cs}[/tex]

Explanation:

Use the molar ratios of the elements in the reaction to find the correct molar quantity to run the reaction.

We are given:

[tex]200\text{ mol }H_2[/tex]

And we are asked to find the molar quantity of [tex]\text{Cs}[/tex]

Reaction:

[tex]\[\text{Cs} + 2\text{H}_2\text{O} \rightarrow \text{Cs(OH)}_2 + \text{H}_2\][/tex]

Same as:

[tex]\[\text{1 Cs} + 2\text{H}_2\text{O} \rightarrow \text{1 Cs(OH)}_2 + \text1 {H}_2\][/tex]

Notice in the reaction above you have the same coefficient in front of the [tex]H_2[/tex] as the [tex]Cs[/tex] , meaning their molar quantities must be the same.

Therefore, the correct answer is [tex]200.0 ~\text{mol Cs}[/tex]