We want to change the volume of a fixed amount of gas from 745mL to 2.30L while holding the temperature constant.
To what value must we change the pressure if the initial pressure is 102 kPa?
P1V1 = P2V2
To solve this problem, we can use the ideal gas law, which states that the product of the pressure, volume, and temperature of a gas is constant.
The formula for the ideal gas law is:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles of the gas
R = ideal gas constant
T = temperature
In this case, we are told that the temperature is constant, so we can rearrange the equation to solve for the pressure.
P1V1 = P2V2
Let's plug in the given values:
P1 = 102 kPa
V1 = 745 mL (which is equal to 0.745 L)
V2 = 2.30 L
Now we can solve for P2:
P2 = (P1 * V1) / V2
P2 = (102 kPa * 0.745 L) / 2.30 L
= 33.235 kPa
Therefore, to change the volume of the gas from 745 mL to 2.30 L while holding the temperature constant, the pressure must be changed to 33.235 kPa.