A 1.81 mol sample of hydrogen gas occupies 23.1 L. How many mol of hydrogen are needed to fill a 100.7 L container at the same pressure and temperature? Enter your answer in the provided box.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Question 27**

A 1.81 mol sample of hydrogen gas occupies 23.1 L. How many moles of hydrogen are needed to fill a 100.7 L container at the same pressure and temperature? Enter your answer in the provided box.

[Answer Box]

**Explanation:**

This question involves the use of the Ideal Gas Law, where the relationship between the volume (V), number of moles (n), temperature (T), and pressure (P) of a gas can be expressed as:

\[ PV = nRT \]

In this case, since the pressure and temperature are constant, you can use the direct relationship between the volume and the number of moles:

\[ \frac{n_1}{V_1} = \frac{n_2}{V_2} \]

Where:
- \( n_1 = 1.81 \) mol (initial moles of hydrogen)
- \( V_1 = 23.1 \) L (initial volume)
- \( V_2 = 100.7 \) L (final volume)
- \( n_2 \) is the moles of hydrogen needed to find

Rearrange the relationship to solve for \( n_2 \):

\[ n_2 = n_1 \times \frac{V_2}{V_1} \]

After calculation, enter the result in the provided answer box.
Transcribed Image Text:**Question 27** A 1.81 mol sample of hydrogen gas occupies 23.1 L. How many moles of hydrogen are needed to fill a 100.7 L container at the same pressure and temperature? Enter your answer in the provided box. [Answer Box] **Explanation:** This question involves the use of the Ideal Gas Law, where the relationship between the volume (V), number of moles (n), temperature (T), and pressure (P) of a gas can be expressed as: \[ PV = nRT \] In this case, since the pressure and temperature are constant, you can use the direct relationship between the volume and the number of moles: \[ \frac{n_1}{V_1} = \frac{n_2}{V_2} \] Where: - \( n_1 = 1.81 \) mol (initial moles of hydrogen) - \( V_1 = 23.1 \) L (initial volume) - \( V_2 = 100.7 \) L (final volume) - \( n_2 \) is the moles of hydrogen needed to find Rearrange the relationship to solve for \( n_2 \): \[ n_2 = n_1 \times \frac{V_2}{V_1} \] After calculation, enter the result in the provided answer box.
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