Question

a sphere of radius r contains a gas at pressure of 10 atm if its connected to another sphere of radius 2r then the pressure inside the new set up is 10/x atm then what is the value of x​

Answer 1

Answer:

Since temperature is constant therefore we can apply P1V1 = P2V2

Where P1 is initial pressure, P2 is final pressure, V1 is initial volume and V2 is final volume.

It is given that the other container is of same volume, therefore V1 = V2 = 10 lit.

Now applying formula :

10 lit * 20 atm = 10 lit * P2 atm

=> P2 = 20 atm Answer

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Answer 2

Answer:  $20$ $atm$ is the answer.

Explanation:

Because temperature is constant, we can use the formula $P_{1}V_{1} = P_{2}V_{2}$

where$P_{1}$ denotes the starting pressure, $P_{2}$ the ending pressure, $V_{1}$ the starting volume, and $V_{2}$ the ending volume.

The other container having the same volume as it, $V_{1} = V_{2} = 10$ lit, it follows that.

Applying the formula now:

$10$ lit * $20$ $atm$ is equal to $10$ lit * $P_{2}$ $atm$

Answer: $P_{2}$ = $20$ $atm$

Volume and Pressure :

• The atmosphere contains several elements and compounds as gases, such as oxygen, argon, and methane.
• These gases serve a number of functions, such as preserving life on Earth and inflating an airbag in the event of a car accident.
• Their traits will determine what role or role they perform in these processes.

• By examining the actions of the gas's constituent particles, it is possible to describe these qualitative and quantitative features.
• Most gases can be accurately described using just four variables: pressure, volume, temperature, and quantity.
• Before continuing, it is crucial to understand what the terms pressure, volume, temperature, and quantity represent in relation to gases and how their values relate to each other mathematically.

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