A gas occupies 175 mL at a pressure of 825 torr. What is the volume when the pressure is decreased to 415 torr?

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A gas occupies 175 mL at a pressure of 825 torr. What is the volume when the pressure is decreased to 415 torr?

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Answer 1 · 2014-12-02T21:33:24

The new volume will be $348 mL$ $"348 mL"$ .

Explanation:

You will need to use Boyle's law to answer this question. Boyle's law states that when temperature is constant, the volume of a gas is inversely proportional to the pressure. This means that if the volume increases, the pressure decreases and vice versa. The equation for Boyle's law is:

$P_{1} V_{1} = P_{2} V_{2}$ $P_1V_1 = P_2V_2$ .

Given:

$P_{1} = 825 torr$ $P_1 = "825 torr"$

$V_{1} = 175 mL$ $V_1 = "175 mL"$

$P_{2} = 415 torr$ $P_2 = "415 torr"$

Unknown:

$V_{2}$ $V_2$

Solution:

Isolate $V_{2}$ $V_2$ by dividing both sides of the equation by $P_{2}$ $P_2$ , then solve for $V_{2}$ $V_2$ .

$V_2 = (P_1V_1)/P_2 =(825color(red)cancel(color(black)("torr"))xx175"mL")/(415color(red)cancel(color(black)("torr")))="348 mL"$

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A gas occupies 175 mL at a pressure of 825 torr. What is the volume when the pressure is decreased to 415 torr?

1 Answer

Explanation:

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