Answer:
T = 232.01 K
Step by step solved:
We can use the Ideal Gas Law to solve for the temperature (T) in Kelvin:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
R = 0.0821 L·atm/(mol·K) (gas constant)
Substituting the given values into the Ideal Gas Law:
(4.7 atm)(23 L) = (1.4 mol)(0.0821 L·atm/(mol·K))(T)
Simplifying:
T = (4.7 atm x 23 L) / (1.4 mol x 0.0821 L·atm/(mol·K))
T = 232.01 K
Therefore, the temperature is approximately 232.01 Kelvin.