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.
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.
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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![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F956324b6-9e0b-489f-86ad-f5c61d1b5207%2F3f13496f-3fb1-4c79-9ed7-5ab4aab4dbec%2Ffpfucxs.jpeg&w=3840&q=75)
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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