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A football was inflated to a gauge pressure of 1 bar when the ambient temperature was 15°C. When the game started next day, the air temperature at the stadium was 5°C. Assume that the volume of the football remains constant at 2500 cm3. Gauge pressure of air to which the ball must have been originally inflated so that it would equal 1 bar gauge at the stadium is _____.
- a)2.23 bar
- b)1.94 bar
- c)1.07 bar
- d)1.00 bar
Correct answer is option 'C'. Can you explain this answer?
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A football was inflated to a gauge pressure of 1 bar when the ambient ...
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A football was inflated to a gauge pressure of 1 bar when the ambient ...
°C. The football was then taken to a location where the ambient temperature was 25°C. Assuming the volume of the football remains constant, what is the new gauge pressure?
We can use the ideal gas law to solve this problem:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the universal gas constant, and T is the temperature in Kelvin.
First, we need to convert the temperatures to Kelvin:
15°C + 273.15 = 288.15 K (initial temperature)
25°C + 273.15 = 298.15 K (final temperature)
Next, we can assume that the volume of the football remains constant, so V is the same in both states. We can also assume that the number of moles of gas remains constant, since the football is a closed system. Therefore, we can write:
P1/T1 = P2/T2
where P1 is the initial pressure, T1 is the initial temperature in Kelvin, P2 is the final pressure, and T2 is the final temperature in Kelvin.
Substituting the values given in the problem, we get:
1 bar / 288.15 K = P2 / 298.15 K
Solving for P2, we get:
P2 = 1.03 bar
Therefore, the new gauge pressure of the football is 1.03 bar.
We can use the ideal gas law to solve this problem:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the universal gas constant, and T is the temperature in Kelvin.
First, we need to convert the temperatures to Kelvin:
15°C + 273.15 = 288.15 K (initial temperature)
25°C + 273.15 = 298.15 K (final temperature)
Next, we can assume that the volume of the football remains constant, so V is the same in both states. We can also assume that the number of moles of gas remains constant, since the football is a closed system. Therefore, we can write:
P1/T1 = P2/T2
where P1 is the initial pressure, T1 is the initial temperature in Kelvin, P2 is the final pressure, and T2 is the final temperature in Kelvin.
Substituting the values given in the problem, we get:
1 bar / 288.15 K = P2 / 298.15 K
Solving for P2, we get:
P2 = 1.03 bar
Therefore, the new gauge pressure of the football is 1.03 bar.
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A football was inflated to a gauge pressure of 1 bar when the ambient temperature was 15°C. When the game started next day, the air temperature at the stadium was 5°C. Assume that the volume of the football remains constant at 2500 cm3. Gauge pressure of air to which the ball must have been originally inflated so that it would equal 1 bar gauge at the stadium is _____.a)2.23 barb)1.94 barc)1.07 bard)1.00 barCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A football was inflated to a gauge pressure of 1 bar when the ambient temperature was 15°C. When the game started next day, the air temperature at the stadium was 5°C. Assume that the volume of the football remains constant at 2500 cm3. Gauge pressure of air to which the ball must have been originally inflated so that it would equal 1 bar gauge at the stadium is _____.a)2.23 barb)1.94 barc)1.07 bard)1.00 barCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A football was inflated to a gauge pressure of 1 bar when the ambient temperature was 15°C. When the game started next day, the air temperature at the stadium was 5°C. Assume that the volume of the football remains constant at 2500 cm3. Gauge pressure of air to which the ball must have been originally inflated so that it would equal 1 bar gauge at the stadium is _____.a)2.23 barb)1.94 barc)1.07 bard)1.00 barCorrect answer is option 'C'. Can you explain this answer?.
A football was inflated to a gauge pressure of 1 bar when the ambient temperature was 15°C. When the game started next day, the air temperature at the stadium was 5°C. Assume that the volume of the football remains constant at 2500 cm3. Gauge pressure of air to which the ball must have been originally inflated so that it would equal 1 bar gauge at the stadium is _____.a)2.23 barb)1.94 barc)1.07 bard)1.00 barCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A football was inflated to a gauge pressure of 1 bar when the ambient temperature was 15°C. When the game started next day, the air temperature at the stadium was 5°C. Assume that the volume of the football remains constant at 2500 cm3. Gauge pressure of air to which the ball must have been originally inflated so that it would equal 1 bar gauge at the stadium is _____.a)2.23 barb)1.94 barc)1.07 bard)1.00 barCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A football was inflated to a gauge pressure of 1 bar when the ambient temperature was 15°C. When the game started next day, the air temperature at the stadium was 5°C. Assume that the volume of the football remains constant at 2500 cm3. Gauge pressure of air to which the ball must have been originally inflated so that it would equal 1 bar gauge at the stadium is _____.a)2.23 barb)1.94 barc)1.07 bard)1.00 barCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A football was inflated to a gauge pressure of 1 bar when the ambient temperature was 15°C. When the game started next day, the air temperature at the stadium was 5°C. Assume that the volume of the football remains constant at 2500 cm3. Gauge pressure of air to which the ball must have been originally inflated so that it would equal 1 bar gauge at the stadium is _____.a)2.23 barb)1.94 barc)1.07 bard)1.00 barCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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