Calculate the pressure on 400 ml of a gas is raised from 20.5 kPa to 80.5 kPa. what is the final volume of the gas?
To calculate the final volume of the gas, 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 the gas, R is the ideal gas constant, and T is the temperature.
We can assume that the number of moles (n) and the temperature (T) remain constant. Therefore, we can rewrite the equation as:
P1V1 = P2V2,
where P1 and P2 are the initial and final pressures, respectively, and V1 and V2 are the initial and final volumes, respectively.
We are given the initial pressure (P1) and volume (V1), so we can substitute these values into the equation:
(20.5 kPa)(400 ml) = (80.5 kPa)(V2).
Next, we can solve for V2:
V2 = (20.5 kPa)(400 ml) / (80.5 kPa).
Converting the volumes from ml to liters and simplifying the equation:
V2 = (0.0205 L)(0.4 L) / (0.0805 L) = 0.102 L.
Therefore, the final volume of the gas is 0.102 liters.