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The ratio in the densities of oxygen and nitrogen is 16 : 14. At what temperature (in °C) the speed of sound will be the same which is in nitrogen at 15°C.
Correct answer is '56.1'. Can you explain this answer?
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Verified Answer
The ratio in the densities of oxygen and nitrogen is 16 : 14. At what ...
If M is the molecular weight of the gas and T is the absolute temperature, then speed of sound in a gas.
where R is the universal gas constant.
Velocity of sound in oxygen at t°C
Velocity of sound in nitrogen at 15°C
According to the given problem
Solving we get t = 56.1°C.
where R is the universal gas constant.
Velocity of sound in oxygen at t°C
Velocity of sound in nitrogen at 15°C
According to the given problem
Solving we get t = 56.1°C.
Most Upvoted Answer
The ratio in the densities of oxygen and nitrogen is 16 : 14. At what ...
Kelvin) will the density of oxygen be twice the density of nitrogen?
To solve this problem, we need to use the ideal gas law which states that the density of a gas is proportional to its molecular weight and inversely proportional to its temperature.
Let's assume that the molecular weight of oxygen is x and the molecular weight of nitrogen is y.
According to the problem, the ratio of the densities of oxygen and nitrogen is 16:14.
Therefore, we can write the equation:
16/14 = x/y
Simplifying this equation, we get:
8/7 = x/y
Now, let's assume that the temperature is T Kelvin for oxygen and T Kelvin for nitrogen.
According to the ideal gas law, the density of a gas is inversely proportional to its temperature.
Therefore, we can write the equation:
Density of oxygen / Density of nitrogen = Temperature of nitrogen / Temperature of oxygen
Since we want the density of oxygen to be twice the density of nitrogen, we can write the equation:
2 = T/T
Simplifying this equation, we get:
2 = 1
This equation is not possible because it is not mathematically correct.
Therefore, there is no temperature at which the density of oxygen will be twice the density of nitrogen.
To solve this problem, we need to use the ideal gas law which states that the density of a gas is proportional to its molecular weight and inversely proportional to its temperature.
Let's assume that the molecular weight of oxygen is x and the molecular weight of nitrogen is y.
According to the problem, the ratio of the densities of oxygen and nitrogen is 16:14.
Therefore, we can write the equation:
16/14 = x/y
Simplifying this equation, we get:
8/7 = x/y
Now, let's assume that the temperature is T Kelvin for oxygen and T Kelvin for nitrogen.
According to the ideal gas law, the density of a gas is inversely proportional to its temperature.
Therefore, we can write the equation:
Density of oxygen / Density of nitrogen = Temperature of nitrogen / Temperature of oxygen
Since we want the density of oxygen to be twice the density of nitrogen, we can write the equation:
2 = T/T
Simplifying this equation, we get:
2 = 1
This equation is not possible because it is not mathematically correct.
Therefore, there is no temperature at which the density of oxygen will be twice the density of nitrogen.
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The ratio in the densities of oxygen and nitrogen is 16 : 14. At what temperature (in °C) the speed of sound will be the same which is in nitrogen at 15°C.Correct answer is '56.1'. Can you explain this answer?
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The ratio in the densities of oxygen and nitrogen is 16 : 14. At what temperature (in °C) the speed of sound will be the same which is in nitrogen at 15°C.Correct answer is '56.1'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The ratio in the densities of oxygen and nitrogen is 16 : 14. At what temperature (in °C) the speed of sound will be the same which is in nitrogen at 15°C.Correct answer is '56.1'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio in the densities of oxygen and nitrogen is 16 : 14. At what temperature (in °C) the speed of sound will be the same which is in nitrogen at 15°C.Correct answer is '56.1'. Can you explain this answer?.
The ratio in the densities of oxygen and nitrogen is 16 : 14. At what temperature (in °C) the speed of sound will be the same which is in nitrogen at 15°C.Correct answer is '56.1'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The ratio in the densities of oxygen and nitrogen is 16 : 14. At what temperature (in °C) the speed of sound will be the same which is in nitrogen at 15°C.Correct answer is '56.1'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio in the densities of oxygen and nitrogen is 16 : 14. At what temperature (in °C) the speed of sound will be the same which is in nitrogen at 15°C.Correct answer is '56.1'. Can you explain this answer?.
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