Final answer:
The number of moles of gas present in the sample is 0.0436 mol.
Step-by-step explanation:
To determine the number of moles of gas present in the sample, we can use the Ideal Gas Law equation: PV = nRT.
Given: P = 0.553 atm, V = 1.90 L, T = 21 °C = 273.15 + 21 = 294.15 K.
Using the Ideal Gas Law, we can solve for n:
n = PV / RT
Substituting the given values into the equation:
n = (0.553 atm)(1.90 L) / (0.0821 L·atm/mol·K)(294.15 K)
Simplifying the equation gives us n = 0.0436 mol.