Question

A gas at constant temperature occupies a volume of 5.66 L and exerts a pressure of 842 torr. What volume (in L) will the gas occupy at a pressure of 686 torr?

Answer 1

Using Boyle's Law, the new volume of the gas at a pressure of 686 torr is calculated to be 6.95 L.

Step-by-step explanation:

The student's question asks to determine the new volume of a gas when the pressure is changed, given that temperature remains constant. This is an application of Boyle's Law, which states that the pressure of a given mass of an ideal gas is inversely proportional to its volume, provided the temperature remains constant (P1V1 = P2V2). To solve the problem, we rearrange the equation to solve for the new volume V2 = (P1V1)/P2. Substituting the given values:

1. P1 = 842 torr
2. V1 = 5.66 L
3. P2 = 686 torr

We calculate:

V2 = (842 torr * 5.66 L) / 686 torr

V2 = 6.95 L

Therefore, at a pressure of 686 torr, the gas will occupy a volume of 6.95 L.