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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?
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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.
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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.
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Directions:Read the passage and choose the best answer to each question.PassageWater pressure influences the rate at which water flows. As water pressure increases, so does the rate of flow. Water pressure can be defined as the amount of force that the water exerts on the container it is in. The more water that is in the container, the greater the water pressure will be. Some students conducted the following experiment:ExperimentStudents used tacks to punch holes in an empty plastic 2-liter bottle. The students created 4 holes, each 1-inch apart, from top to bottom. The tacks were left in each hole as the hole was created. The bottle was filled to the top with water and placed on a table. An 8 × 9-inch pan with a piece of blotting paper was placed lengthwise in front of the bottle. A ruler was placed in the pan to measure the spot at which the water stream touched the paper (range of water stream). The students removed the tack nearest the top of the bottle and marked the spot where the water stream touched the paper (range of water stream). The tack was then replaced, the bottle was filled to the top, and the next tack was removed.The spot where the water stream touched the paper was measured. Rate of flow was indicated by the length of the water stream. This procedure was repeated a total of 4 times, once for each tack. The results are recorded in Table 1 below.Q.Based on Table 1, water pressure is greatest

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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 litersb)2.5 litersc)0.3 litersd)1 literCorrect answer is option 'C'. Can you explain this answer?
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