How many moles of BeCl2 are needed to react completely with 1.75 moles of LiH?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Question:**

How many moles of BeCl₂ are needed to react completely with 1.75 moles of LiH?

**Explanation and Approach:**

To answer this question, we need to look at the balanced chemical equation for the reaction between beryllium chloride (BeCl₂) and lithium hydride (LiH). The typical reaction can be represented as:

\[ \text{BeCl}_2 + \text{2LiH} \rightarrow \text{BeH}_2 + \text{2LiCl} \]

From the balanced equation, you can observe the molar ratio between BeCl₂ and LiH is 1:2. This means that 1 mole of BeCl₂ reacts with 2 moles of LiH.

To find out how many moles of BeCl₂ are needed to react completely with 1.75 moles of LiH, we can use this stoichiometric ratio. We'll set up a proportion based on the ratio:

\[ \text{Moles of BeCl}_2 = \frac{1 \text{ mole of BeCl}_2}{2 \text{ moles of LiH}} \times 1.75 \text{ moles of LiH} \]

\[ \text{Moles of BeCl}_2 = \frac{1}{2} \times 1.75 \]

\[ \text{Moles of BeCl}_2 = 0.875 \]

**Conclusion:**

0.875 moles of BeCl₂ are needed to react completely with 1.75 moles of LiH.
Transcribed Image Text:**Question:** How many moles of BeCl₂ are needed to react completely with 1.75 moles of LiH? **Explanation and Approach:** To answer this question, we need to look at the balanced chemical equation for the reaction between beryllium chloride (BeCl₂) and lithium hydride (LiH). The typical reaction can be represented as: \[ \text{BeCl}_2 + \text{2LiH} \rightarrow \text{BeH}_2 + \text{2LiCl} \] From the balanced equation, you can observe the molar ratio between BeCl₂ and LiH is 1:2. This means that 1 mole of BeCl₂ reacts with 2 moles of LiH. To find out how many moles of BeCl₂ are needed to react completely with 1.75 moles of LiH, we can use this stoichiometric ratio. We'll set up a proportion based on the ratio: \[ \text{Moles of BeCl}_2 = \frac{1 \text{ mole of BeCl}_2}{2 \text{ moles of LiH}} \times 1.75 \text{ moles of LiH} \] \[ \text{Moles of BeCl}_2 = \frac{1}{2} \times 1.75 \] \[ \text{Moles of BeCl}_2 = 0.875 \] **Conclusion:** 0.875 moles of BeCl₂ are needed to react completely with 1.75 moles of LiH.
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