Calculating Volume of Gas at Different Pressures

Calculation of Volume of Gas at Different Pressures

If a gas at 25.0°C occupies 2.5 liters at a pressure of 3.50 atm, what will be its volume at a pressure of 1.75 atm?

If a gas at 25.0°C occupies 2.5 liters at a pressure of 3.50 atm, what will be its volume at a pressure of 1.75 atm? Answer: The final volume of the gas is 5 liters. Explanation: Let suppose that the gas experiences an isothermal process and is an ideal gas. Hence, volume is inversely proportional to pressure, that is: \[P_{1} \cdot V_{1} = P_{2} \cdot V_{2}\] Where: - \(P_{1}\), \(P_{2}\) - Initial and final pressure, in atmospheres. - \(V_{1}\), \(V_{2}\) - Initial and final volume, in liters. Given that \(P_{1} = 3.50 atm\), \(V_{1} = 2.5 L\), and \(P_{2} = 1.75 atm\), we can calculate the final volume of the gas using the formula: \[V_{2} = \frac{P_{1}}{P_{2}} \cdot V_{1}\] \[V_{2} = 5 L\] Therefore, the final volume of the gas at a pressure of 1.75 atm is 5 liters.
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