Question

7. A balloon contains 39.4 mL of gas at a pressure of 741 torr. If the temperature does not

change, what is the volume of the gas at a pressure of 862 torr?

Answer 1

34.0 mL.

Step-by-step explanation:

The volume of a gas at constant temperature is inversely proportional to the pressure. We can use this relationship to find the new volume. Using the formula:

`\sf:\implies{V1 * P1 = V2 * P2}`

where V1 and P1 are the initial volume and pressure, and V2 and P2 are the final volume and pressure, respectively.

Plugging in the given values, we get:

`\sf:\implies{V2 = V1 * P1 / P2 = 39.4 mL}`

`\sf:\implies{39.4 mL * 741 torr / 862 torr = 34.0 mL}`

So, the volume of the gas at a pressure of 862 torr is 34.0 mL.