A chemist places of an unknown monatomic gas into a flask

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

A chemist places 4.60 g4.60\,\text{g} of an unknown monatomic gas into a 3.00 L3.00\,\text{L} flask. The flask is sealed and held at a uniform temperature of 27 ∘C27\,^{\circ}\text{C}. The pressure inside is measured to be 745 torr745\,\text{torr}. Atmospheric pressure is 1.013×105 Pa1.013\times10^{5}\,\text{Pa}. 1 torr=133 Pa1\,\text{torr}=133\,\text{Pa}. The universal gas constant is 8.31 J mol−1 K−18.31\,\text{J mol}^{-1}\,\text{K}^{-1}. (a) Convert the given pressure to pascals and the volume to cubic metres. (b) Determine the number of moles of the gas contained in the flask. (c) Using your result from part (b), calculate the molar mass of the gas sample. (d) The possible identities of the gas are He, Ne, Ar, and Xe. Using your calculated molar mass, identify the most likely gas and justify your choice.

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