To determine the final pressure in kPa in the cylinder, 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, R is the ideal gas constant (8.31 J/mol*K), and T is the temperature in Kelvin.
First, we need to convert the temperature from Celsius to Kelvin by adding 273.15 to it.
So, the temperature T = 331 + 273.15 = 604.15 K
Next, we can calculate the final pressure using the ideal gas law equation.
n = 20.0 moles
V = 10.0 L
T = 604.15 K
R = 8.31 J/mol*K
Plugging the values into the ideal gas law equation, we get:
P = (nRT) / V
P = (20.0 mol * 8.31 J/(mol*K) * 604.15 K) / 10.0 L
P = 10,006.9 Pa
P = 10.01 kPa (rounded to two decimal places)
Therefore, the final pressure in kPa in the cylinder is 10.01 kPa.