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A quantity of \( 80.0 \mathrm{~g} \) of a salt \( (\mathrm{XY}) \) of strong acid and weak base is dissolved in water to form \( 2.0 \mathrm{~L} \) aqueous
P
W. solution. At \( 298 \mathrm{~K} \), the \( \mathrm{pH} \) of the solution is found to be 5.0. If \( \mathrm{XY} \) forms \( \mathrm{CsCl} \) type crystal and the radius of \( \mathrm{X}^{+} \)and \( \mathrm{Y}^{-} \)ions are \( 160 \mathrm{pm} \) and \( 186.4 \mathrm{pm} \), respectively, then the correct information is (Given: \( K_{\mathrm{b}} \) of \( \mathrm{XOH}=4 \times 10^{-5}, N_{\mathrm{A}}=6 \times 10^{23}, \sqrt{3}=1.732 \) )
(a) molar mass of the salt is \( 100 \mathrm{~g} / \mathrm{mol} \).
(b) the degree of hydrolysis of salt is \( 2.5 \times 10^{-5} \).
(c) unit cell edge length of XY crystal is \( 400 \mathrm{pm} \).
(d) density of solid \( X Y \) is \( 2.6 \mathrm{~g} / \mathrm{cm}^{3} \).
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