Question

50.00 L of gas is collected high in the atmosphere at 18.30 torr is lowered and compressed to 0.1500 L at the same temperature. What is the final pressure in torr?50.00 L of gas is collected high in the atmosphere at 18.30 torr is lowered and compressed to 0.1500 L at the same temperature. What is the final pressure in torr?

Answer 1

To find the final pressure of a gas compressed at constant temperature, Boyle's Law is used. The final pressure of the gas after being compressed from 50.00 L at 18.30 torr to 0.1500 L is 61000 torr.

Step-by-step explanation:

The student's question deals with gas compression and the corresponding change in pressure while the temperature is held constant.

To solve for the final pressure, we can use Boyle's Law, which states that for a given mass of a gas at constant temperature, the volume of the gas is inversely proportional to its pressure (P1V1 = P2V2).

Given:

• Initial Volume (V1) = 50.00 L
• Initial Pressure (P1) = 18.30 torr
• Final Volume (V2) = 0.1500 L

By rearranging the equation to solve for the final pressure (P2), the formula becomes P2 = (P1V1) / V2. Substituting the given values:

P2 = (18.30 torr * 50.00 L) / 0.1500 L

P2 = 9150 torr / 0.1500 L

P2 = 61000 torr

Therefore, the final pressure of the gas after compression is 61000 torr.