1500cm3
of an unknown gas have a pressure of 10000 N/m2
at 30C° find out number of moles of gas present inside
the container.
P = 10000 N/m2 = 10000 Pa
V = 1500 cm3 = 0.0015 m3
n = unknown
R = 8.314 m3 Pa K−1 mol−1
T = 30°C + 273 = 303 K
Solution:
The Ideal Gas Law can be used.
The Ideal Gas Law can be expressed as: PV = nRT
To find the number of moles, solve the equation for n:
n = PV / RT
n = (10000 Pa × 0.0015 m3) / (8.314 m3 Pa K−1 mol−1 × 303 K) = 0.00595 mol = 0.006 mol
n = 0.006 mol
Answer: 0.006 mol of gas present inside the container.
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