### Additional Exercise 14.78**For the equation below:**\[ \text{Mg}(\text{s}) + 2 \text{HCl}(\text{aq}) \rightarrow \text{MgCl}_2(\text{aq}) + \text{H}_2(\text{g}) \](a) **How many moles of hydrogen will be liberated from 139.8 mL of 2.46 M HCl reacting with an excess of magnesium?**\[ \_\_\_\_\_\_\_\_\_ \text{ mol H}_2 \]*the tolerance is +/-2%*(b) **How many liters of hydrogen gas (\(\text{H}_2\)) measured at 33 ºC and 748 torr will be obtained?**\[ \_\_\_\_\_\_\_\_\_ \text{ L H}_2 \]*the tolerance is +/-2%*### Explanation:1. **Balanced Chemical Reaction:** The given chemical reaction is: \[ \text{Mg}(\text{s}) + 2 \text{HCl}(\text{aq}) \rightarrow \text{MgCl}_2(\text{aq}) + \text{H}_2(\text{g}) \] - This reaction indicates that one mole of magnesium reacts with two moles of hydrochloric acid to produce one mole of magnesium chloride and one mole of hydrogen gas. 2. **Concentration and Volume Relationship:** - Molarity (M) is defined as moles of solute per liter of solution. - To find the moles of \(\text{HCl}\), use the equation: \[ \text{Moles of HCl} = \text{Molarity} \times \text{Volume (in liters)} \] 3. **Ideal Gas Law:** - To convert the moles of hydrogen gas to liters at the given temperature and pressure, use the ideal gas law: \[ PV = nRT \] - Where \(P\) is the pressure (in atm), \(V\) is the volume (in L), \(n\) is the number of moles, \(R\) is the ideal gas constant (0.0821 L·atm/(K·mol)), and \(T\) is the temperature (in Kelvin).For further study, students are encouraged to solve

The number of moles of HCl in 139.8 mL of 2.46 M HCl is calculated as shown below where M is the…

Additional Exercise 14.78 For the equation below: Mg(s) + 2 HCl(aq) MgC2(aq) + H2(8) (a) How many moles of hydrogen will be liberated from 139.8 mL of 2.46 M HCI reacting with an excess of magnesium? mol H2 the tolerance is +/-2% (b) How many liters of hydrogen gas (H2) measured at 33 °C and 748 torr will be obtained? L H2 the tolerance is +/-2%

Additional Exercise 14.78 For the equation below: Mg(s) + 2 HCl(aq) MgC2(aq) + H2(8) (a) How many moles of hydrogen will be liberated from 139.8 mL of 2.46 M HCI reacting with an excess of magnesium? mol H2 the tolerance is +/-2% (b) How many liters of hydrogen gas (H2) measured at 33 °C and 748 torr will be obtained? L H2 the tolerance is +/-2%

Chemistry

10th Edition

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

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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