1. A group of oxygen molecules start their free paths at the same instant. The pressure is such that the mean free path is 3 cm. After how long a time will half of the group still remain scattered? Assume all particles have a speed equal to the rms speed. The tern? premature is 300 K. 2. Dowling pins with an effective diameter of 10 cm are placed randomly on a bowling green with an average density of 10 pins per square meter. A large number of 10 cm diameter bowling balls are bowled at the pins. (a) What is the ratio of the mean free path of the bowling ball to the average distance between pins? (b) What fraction o f t he bowling balls will travel at least 3 meters without striking a pin?

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