(Solved): Calculate the molarity of each of the following solutions. (a) \( 0.149 \mathrm{~g} \) of choleste ...

Calculate the molarity of each of the following solutions. (a) \( 0.149 \mathrm{~g} \) of cholesterol, \( \mathrm{C}_{27} \mathrm{H}_{46} \mathrm{O} \), in \( 0.100 \mathrm{~L} \) of serum, a value within the normal concentration range of cholesterol in human serum \( 4.0 \Omega M \) (b) \( 7.23 \mathrm{~g} \) of \( \mathrm{NH}_{3} \) in \( 0.350 \mathrm{~L} \) of solution, the concentration of \( \mathrm{NH}_{3} \) in a commercial ammonia solution \[ M \] (c) \( 3.04 \mathrm{~kg} \) of isopropyl alcohol, \( \mathrm{C}_{3} \mathrm{H}_{7} \mathrm{OH} \), in \( 4.50 \mathrm{~L} \) of solution, the concentration of isopropyl alcohol in a particular "rubbing alcohol" brand M (d) \( 0.062 \mathrm{~g} \) of \( \mathrm{I}_{2} \) in \( 0.100 \mathrm{~L} \) of solution, the solubility of \( \mathrm{I}_{2} \) in water at \( 40 .{ }^{\circ} \mathrm{C} \) \( 4.0 \Omega \) M Calculate the number of moles and the mass (in \( \mathrm{g} \) ) of the solute in each of the following solutions. (a) \( 2.20 \mathrm{~L} \) of \( 18.2 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4} \), concentrated sulfuric acid \( \begin{array}{lll}\text { moles } & 4.0 \Omega & \mathrm{mol} \\ \text { mass } & 4.0 \Omega & \mathrm{g}\end{array} \) (b) \( 130.0 \mathrm{~mL} \) of \( 4.6 \times 10^{-5} \mathrm{M} \mathrm{NaCN} \), a lethal concentration of sodium cyanide in blood serum \( \begin{array}{lll}\text { moles } & 4.00 & \mathrm{~mol} \\ \text { mass } & 4.0 \Omega & \mathrm{g}\end{array} \) (c) \( 5.03 \mathrm{~L} \) of \( 12.6 \mathrm{M} \mathrm{H}_{2} \mathrm{CO} \), the formaldehyde used to "fix" tissue samples \( \begin{array}{lll}\text { moles } & 4.0 \supset & \mathrm{mol} \\ \text { mass } & 4.0 \square & \mathrm{g}\end{array} \) (d) \( 315 \mathrm{~mL} \) of \( 1.9 \times 10^{-6} \mathrm{M} \mathrm{FeSO}_{4} \), a concentration of iron sulfate detectable by taste in drinking water moles \( 4.00 \mathrm{~mol} \) mass \( 4.0 \square \mathrm{g} \) What is the molarity of \( \mathrm{HCl} \) if \( 33.85 \mathrm{~mL} \) of a solution of \( \mathrm{HCl} \) contain \( 0.3175 \mathrm{~g} \) of \( \mathrm{HCl} \) ? \[ \text { * } M \]