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?

Question

Ruth · Answer

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.

Calculating Volume of Gas at Different Pressures

Calculation of Volume of Gas at Different Pressures

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