Identical balloons are filled to the same pressure with gas X ( ) and gas Y ( ) at 298 K

CHEMISTRY · Single correct · A Level · Chemistry · Amount of substance · Amount of substance

Problem

Identical balloons are filled to the same pressure with gas X (M=28 g mol−1M = 28\,\text{g mol}^{-1}) and gas Y (M=4 g mol−1M = 4\,\text{g mol}^{-1}) at 298 K. Each balloon develops a pin-size leak. Which prediction about the relative deflation rates is most accurate? (a) The balloon containing gas Y will lose volume about 77 times faster than the balloon containing gas X. (b) Both balloons will deflate at the same rate because they are at the same temperature and pressure. (c) The balloon containing gas Y will lose volume about 7\sqrt{7} times faster than the balloon containing gas X. (d) The balloon containing gas X will lose volume about 7\sqrt{7} times faster than the balloon containing gas Y.

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