Frequently Asked Question

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The gas with an initial volume of 24.0 l at a pressure of 565 mmhg is compressed until the volume is 16.0 l. What is the final pressure of the gas, assuming the temperature does not change?

Accepted Answer

This problem involves Boyle's Law, which states that the product of pressure and volume is constant for a fixed amount of gas at a constant temperature. Mathematically, this is expressed as P₁V₁ = P₂V₂.
Here's how to solve the problem:

Given:

Initial volume (V₁) = 24.0 L

Initial pressure (P₁) = 565 mmHg

Final volume (V₂) = 16.0 L

To find: Final pressure (P₂)

Using Boyle's Law:

P₁V₁ = P₂V₂

(565 mmHg)(24.0 L) = P₂(16.0 L)

P₂ = (565 mmHg)(24.0 L) / (16.0 L)

P₂ = 847.5 mmHg
Therefore, the final pressure of the gas is 847.5 mmHg.


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