A research gas canister contains 2.0 moles2.0\text{ moles}2.0 moles of a gas at a pressure of 160 kPa. The root-mean-square (r.m.s.) speed of the gas molecules is 500 m s-1, and the mass of each molecule is 4.8 × 10-26 kg.
What is the volume of the canister?
(Use Avogadro's constant NA=6.02×1023 mol−1N_A = 6.02 \times 10^{23}\text{ mol}^{-1}NA=6.02×1023 mol−1.)
1.5×10−2 m31.5 \times 10^{-2}\text{ m}^31.5×10−2 m3
3.0×10−2 m33.0 \times 10^{-2}\text{ m}^33.0×10−2 m3
4.5×10−2 m34.5 \times 10^{-2}\text{ m}^34.5×10−2 m3
9.0×10−2 m39.0 \times 10^{-2}\text{ m}^39.0×10−2 m3