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Answer :
Final answer:
The total pressure exerted by a gas mixture is the sum of the partial pressures of each individual gas. In this case, adding the given partial pressures of oxygen, hydrogen, and nitrogen results in a total pressure of 278 kPa.
Explanation:
The subject matter of this question relates to the properties of gases, specifically the concept of partial pressures. When gases are combined in a container, each gas exerts a pressure, known as its partial pressure. The total pressure exerted by the gas mixture is simply the sum of the individual partial pressures of each gas. In this case, you add the partial pressures of oxygen, hydrogen, and nitrogen together:
112 kPa (oxygen) + 101 kPa (hydrogen) + 65 kPa (nitrogen) = 278 kPa
Therefore, the total pressure exerted by the gas mixture is 278 kPa, which corresponds to option (a).
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