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 gas A and B at 0°C and 1 atm are

\(2 \times 10^{-3} g/100g\) of water

\(4 \times 10^{-3} g/100g\) 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 correct?

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

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