Question

An ideal gas occupies a volume of 0.50 liter (L) at a pressure of 0.20 atmosphere. What volume will the gas occupy at 0.40

atmosphere if the temperature remains constant?

A) 0.25L
B) 0.50L
C) 1 L
D) 2L

Show work please

Answer 1

To find the volume of the gas at a different pressure while keeping the temperature constant, we can use the ideal gas law equation:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvins.

Since the number of moles and the temperature are constant, we can set the pressure and volume on opposite sides of the equation to solve for V. We'll use P1V1 = P2V2 to rearrange the equation like this:

V2 = (nRT/P1) * P2

Plugging in the values we know:

V2 = (nRT/0.20 atm) * 0.40 atm = 2 * V1

So the volume the gas will occupy at 0.40 atmosphere is double the volume it occupies at 0.20 atmosphere. Since the original volume is 0.50 L, the new volume will be 2 * 0.50 L = 1 L.

Therefore, the correct answer is C) 1 L.