Answer:
(b) 0.97 mol
Step-by-step explanation:
We can use the Ideal Gas Law to solve this problem, which states that 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 in Kelvin.
First, we need to convert the given temperature of 278K to Kelvin. We have:
T = 278K
Next, we can plug in the values of the given pressure, volume, gas constant, and temperature into the Ideal Gas Law and solve for n:
PV = nRT
n = (PV) / (RT)
n = (89.9 kPa) x (25.0 L) / [(8.314 J/mol·K) x (278 K)]
n = 0.965 mol
Therefore, the answer is (b) 0.97 mol (rounded to two significant figures).