In a portable oxygen system, the oxygen (O_2) is contained in a cylinder whose v

Question

In a portable oxygen system, the oxygen (O_2) is contained in a cylinder whose volume is 0.0028 m^3. A full cylinder has an absolute pressure of 1.5 times 10^7 Pa when the temperature is 296 K. Find the mass in (kg) of oxygen in the cylinder. (Atomic mass of O_2 is 31.9988 u) If two objects are in thermal equilibrium with each other: A) they cannot be moving: B) they cannot be undergoing an elastic collision, C) they cannot have different pressure, D) they cannot at different temperature, E) they cannot be falling in Earth's gravitational field.

Explanation / Answer

V=0.0028m^3×1000litre=2.8litre

P=1.5×10^7pa/1.013×10^5=1.48×10^2atmosphere

T=296K

R=0.08206Latommol^-1K^-1

Apply ideal gas eq we wil get

n=PV/RT=17.1

X/17.1=31.9988

X=31.9988×17.1=547.17g=0.5472kg

Thermal equillibrium means two objects are at same temp they cannot be at different temp

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