Answer:
Aprrox. 1.31 mol
Step-by-step explanation:
To determine the number of moles of gas, we need to use the Ideal Gas Law, which relates the pressure, volume, temperature, and number of moles of a gas:
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.
At standard temperature and pressure (STP), which is defined as 0 °C (273.15 K) and 101.325 kPa, respectively, one mole of an ideal gas occupies a volume of 22.4 L.
However, in this problem, we are given a volume of 38.0 L at a pressure of 143.2 kPa and standard temperature. To solve for the number of moles, we can rearrange the Ideal Gas Law as follows:
n = PV/RT
where R is the gas constant, which has a value of 8.31 J/(mol K).
Plugging in the given values, we get:
n = (143.2 kPa) × (38.0 L) / [(8.31 J/(mol K)) × (273.15 K)]
n = 1.31 mol
Therefore, the number of moles of gas in the given volume under the given conditions is approximately 1.31 mol.