# Solubility of gas

Chemistry Level pending

The above left is a cylinder containing $$1$$ kg of water at $$0$$°C. Then gases A and B nonreactive to each other are added. After enough time passes, as the picture on the right shows, the height $$h$$ is stabilized with partial pressures of both gases being $$0.5$$ atm. The solubilities of gases A and B at $$0$$°C and $$1$$ atm are $2\times10^{-3} \text{ g/100 g of water},$ $4\times10^{-3} \text{ g/100 g of water},$ respectively. If the formula weight of B is twice as much as that of A and the mass of the piston is negligible, which of the following statements is/are correct?

a) The dissolved weight of gas B is twice as much as that of gas A.
b) The number of moles of gases A and B, when added initially, were not the same.
c) The molalities of gases A and B, after being dissolved in the water, are the same.

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