Patients undergoing an upper gastrointestinal tract laboratory test are typically given an X-ray contrast agent that aids with the radiologic imaging of the anatomy. One such contrast agent is sodium iatrizoate, a nonvolatile water soluble compound. A 0.378-m solution is prepared by dissolving 38.4 g of sodium diatrizoate (NaDTZ) in $1.60 \times 10 ^ { 2 }\ \mathrm { mL }$ of water at $31.2 ^ { \circ } \mathrm { C }$ (the density of water at $31.2 ^ { \circ } \mathrm { C }$ is 0.995 g/mol). What is the molar mass of sodium diatrizoate? What is the vapor pressure of this solution if the vapor pressure of pure water at $31.2 ^ { \circ } \mathrm { C }$ is 34.1 torr?

Evaluate the definite integral. ∫_0^1 x arcsin x² dx

If a partic le having a 0.0170-cm radius and density of $1.95 \mathrm{g} \cdot \mathrm{cm}^{-3}$ is allowed to fall into quiescent water having a temperature of $4^{\circ} \mathrm{C}$, what will be the terminal settling velocity? Assume the density of water = $1000 \mathrm{kg} \cdot \mathrm{m}^{-3}$. Assume Stokes' law applies. Answer: $3.82 \times 10^{-1} \mathrm{m} \cdot \mathrm{s}^{-1}$

A 0.500-g sample of a compound is dissolved in enough water to form 100.0 mL of solution. This solution has an osmotic pressure of 2.50 atm at $25 ^ { \circ } \mathrm { C }.$ If each molecule of the solute dissociates into two particles (in this solvent), what is the molar mass of this solute?

The mass percent of carbon in a typical human is 18%, and the mass percent of $^ { 14 } \mathrm { C }$ in natural carbon is $1.6 \times 10 ^ { - 10 }\%.$ Assuming a 180-lb person, how many decay events per second occur in this person due exclusively to the $\beta$-particle decay of $^ { 14 } \mathrm { C } ?\ ($ For $^ { 14 } \mathrm { C } ,\ t _ { 1 / 2 } =$ 5730 years.)

The discharge pipe from a sump pump in the dry well of a sewage lift station did not drain properly and the water at the discharge end of the pipe froze. A hole has been drilled into the ice and a 200-W electric heater has been inserted in the hole. If the discharge pipe contains 2 kg of ice, how long will it take to melt the ice? Assume all the heat goes into melting the ice. Answer: 55.5 or 56 min

Consider a weak acid HX. If a 0.10M solution of HX has a pH of 5.83 at $25 ^ { \circ } \mathrm { C } ,$ what is $\Delta G ^ { \circ }$ for the acid's dissociation reaction at $25 ^ { \circ } \mathrm { C }?$

Is each number prime, composite, or neither? For each composite number, write the prime factorization.

$$1,575$$

If the human eye has an osmotic pressure of 8.00 atm at $25 ^ { \circ } \mathrm { C } ,$ what concentration of solute particles in water will provide an isotonic eyedrop solution (a solution with equal osmotic pressure)?

Uranium-235 undergoes a series of a-particle and $\beta$-particle productions to end up as lead-207. How many $\alpha$ particles and $\beta$ particles are produced in the complete decay series?

Graph the function and its parent function. Then describe the transformation.

$$h ( x ) = - x ^ { 2 }$$

A reported synthesis of the transuranium element bohr ium (Bh) involved the bombardment of berkelium-249 with neon-22 to produce bohrium-267. Write a nuclear reaction for this synthesis. The half-life of bohrium-267 is 15.0 seconds. If 199 atoms of bohrium-267 could be synthesized, how much time would elapse before only 11 atoms of bohrium-267 remain? What is the expected electron configuration of elemental bohrium?

PART A.

Use the following data to calculate the enthalpy of hydration for calcium chloride and calcium iodide.

*Lattice energy is defined as the energy change for the process:

$$\ce{M+(g) + X-(g)->MX(s)}$$

PART B.

Based on your answers to part A., which ion, Cl$^{-}$ or I$^{-}$, is more strongly attracted to water?

a. chloride
b. iodide

Explain.

The enthalpy of hydration for CaCl$_2$ is _____________ exothermic than for CaI$_2$. Any differences must be due to differences in hydrations between Cl$^{-}$ and I$^{-}$.

Factor the polynomial completely.

$$3 n ^ { 5 } - 48 n ^ { 3 }$$