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Ch.10 - Gases
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970당신이 사용하는 게 아니라요?교과서 변경
10장, 문제 66

A plasma-screen TV contains thousands of tiny cells filled with a mixture of Xe, Ne, and He gases that emits light of specific wavelengths when a voltage is applied. A particular plasma cell, 0.900 mm×0.300 mm×10.0 mm, contains Xe, Ne, and He atoms in a ratio of 1:12:12, respectively, at a total pressure of 500 torr at 298 K. Calculate the number of Xe, Ne, and He atoms in the cell.

검증된 단계별 안내
1
Convert the dimensions of the plasma cell from millimeters to meters to find the volume in cubic meters.
Calculate the volume of the plasma cell using the formula for the volume of a rectangular prism: \( V = \text{length} \times \text{width} \times \text{height} \).
Use the ideal gas law \( PV = nRT \) to find the total number of moles of gas in the cell. Remember to convert pressure from torr to atm and use the appropriate value for the gas constant \( R \).
Determine the mole fraction of each gas using the given ratio of Xe:Ne:He = 1:12:12. Calculate the mole fraction for each gas.
Calculate the number of moles of each gas by multiplying the total moles by the respective mole fraction, and then convert moles to atoms using Avogadro's number.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
11m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. This law is essential for calculating the number of gas particles in a given volume under specific conditions. In this scenario, it will help determine the total number of moles of gas present in the plasma cell, which can then be used to find the number of individual atoms.
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

Mole Ratio

Mole ratio is the proportion of different substances in a mixture, expressed in terms of moles. In this question, the gases Xe, Ne, and He are present in a ratio of 1:12:12. Understanding this ratio is crucial for calculating the individual amounts of each gas after determining the total number of moles, allowing for the accurate distribution of atoms based on their respective ratios.
추천 영상:
가이드 코스
02:14
Neutron-Proton Ratio

Avogadro's Number

Avogadro's Number, approximately 6.022 x 10²³, is the number of particles (atoms, molecules, etc.) in one mole of a substance. This concept is vital for converting the number of moles of each gas into the actual number of atoms. By applying Avogadro's Number to the calculated moles of Xe, Ne, and He, one can find the total number of atoms present in the plasma cell.
추천 영상: