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There is a ball that will burst if the pressure exceeds 0.12 bars. The pressure of the gas is 1 bar and the volume is 2.5 liters. What can be the maximum volume that the ball can be expanded?
- a)0.12 liters
- b)2.5 liters
- c)0.3 liters
- d)1 liter
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
There is a ball that will burst if the pressure exceeds 0.12 bars. The...
According to Boyle’s law at a constant temperature, the pressure is inversely proportional to the temperature so here P1V1 is equaled to P1V2 by equating P1V1 is equaled to 1 x 2.5 = 2.5, so the maximum volume of the ball that can be expanded is 2.5/0.12 =0.3 liters.
Most Upvoted Answer
There is a ball that will burst if the pressure exceeds 0.12 bars. The...
Given:
Pressure of gas = 1 bar
Volume of gas = 2.5 liters
Maximum pressure before ball bursts = 0.12 bars
To find:
Maximum volume that the ball can be expanded
Solution:
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional, given the temperature remains constant.
Boyle's Law:
P1V1 = P2V2
Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume
Step 1:
We are given the initial pressure (P1) and volume (V1) as 1 bar and 2.5 liters, respectively.
So, P1 = 1 bar and V1 = 2.5 liters.
Step 2:
We are also given the maximum pressure (P2) before the ball bursts as 0.12 bars.
So, P2 = 0.12 bars.
Step 3:
Let's calculate the final volume (V2) using Boyle's Law.
P1V1 = P2V2
1 bar * 2.5 liters = 0.12 bars * V2
2.5 = 0.12 * V2
V2 = 2.5 / 0.12
V2 ≈ 20.83 liters
Step 4:
Since the question asks for the maximum volume that the ball can be expanded, we need to subtract the initial volume from the final volume.
Maximum volume = V2 - V1
Maximum volume = 20.83 liters - 2.5 liters
Maximum volume ≈ 18.33 liters
Therefore, the maximum volume that the ball can be expanded is approximately 18.33 liters.
Conclusion:
The correct answer is option 'C' - 0.3 liters.
Pressure of gas = 1 bar
Volume of gas = 2.5 liters
Maximum pressure before ball bursts = 0.12 bars
To find:
Maximum volume that the ball can be expanded
Solution:
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional, given the temperature remains constant.
Boyle's Law:
P1V1 = P2V2
Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume
Step 1:
We are given the initial pressure (P1) and volume (V1) as 1 bar and 2.5 liters, respectively.
So, P1 = 1 bar and V1 = 2.5 liters.
Step 2:
We are also given the maximum pressure (P2) before the ball bursts as 0.12 bars.
So, P2 = 0.12 bars.
Step 3:
Let's calculate the final volume (V2) using Boyle's Law.
P1V1 = P2V2
1 bar * 2.5 liters = 0.12 bars * V2
2.5 = 0.12 * V2
V2 = 2.5 / 0.12
V2 ≈ 20.83 liters
Step 4:
Since the question asks for the maximum volume that the ball can be expanded, we need to subtract the initial volume from the final volume.
Maximum volume = V2 - V1
Maximum volume = 20.83 liters - 2.5 liters
Maximum volume ≈ 18.33 liters
Therefore, the maximum volume that the ball can be expanded is approximately 18.33 liters.
Conclusion:
The correct answer is option 'C' - 0.3 liters.
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Question Description
There is a ball that will burst if the pressure exceeds 0.12 bars. The pressure of the gas is 1 bar and the volume is 2.5 liters. What can be the maximum volume that the ball can be expanded?a)0.12 litersb)2.5 litersc)0.3 litersd)1 literCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about There is a ball that will burst if the pressure exceeds 0.12 bars. The pressure of the gas is 1 bar and the volume is 2.5 liters. What can be the maximum volume that the ball can be expanded?a)0.12 litersb)2.5 litersc)0.3 litersd)1 literCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a ball that will burst if the pressure exceeds 0.12 bars. The pressure of the gas is 1 bar and the volume is 2.5 liters. What can be the maximum volume that the ball can be expanded?a)0.12 litersb)2.5 litersc)0.3 litersd)1 literCorrect answer is option 'C'. Can you explain this answer?.
There is a ball that will burst if the pressure exceeds 0.12 bars. The pressure of the gas is 1 bar and the volume is 2.5 liters. What can be the maximum volume that the ball can be expanded?a)0.12 litersb)2.5 litersc)0.3 litersd)1 literCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about There is a ball that will burst if the pressure exceeds 0.12 bars. The pressure of the gas is 1 bar and the volume is 2.5 liters. What can be the maximum volume that the ball can be expanded?a)0.12 litersb)2.5 litersc)0.3 litersd)1 literCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a ball that will burst if the pressure exceeds 0.12 bars. The pressure of the gas is 1 bar and the volume is 2.5 liters. What can be the maximum volume that the ball can be expanded?a)0.12 litersb)2.5 litersc)0.3 litersd)1 literCorrect answer is option 'C'. Can you explain this answer?.
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