Plants that thrive in salt water must have internal solutions (inside the plant cells) that are isotonic with (have the same osmotic pressure as) the surrounding solution. A leaf of a saltwater plant is able to thrive in an aqueous salt solution (at $\left.25^{\circ} \mathrm{C}\right)$ that has a freezing point equal to $-0.621^{\circ} \mathrm{C} .$ You would like to use this information to calculate the osmotic pressure of the solution in the cell. Solve for the osmotic pressure (at $\left.25^{\circ} \mathrm{C}\right)$ of the solution in the plant cell.

The dimerization of butadiene was studied at 500. K:

$$2 \mathrm { C } _ { 4 } \mathrm { H } _ { 6 } ( \mathrm { g } ) \longrightarrow \mathrm { C } _ { \mathrm { 8 } } \mathrm { H } _ { 12 } ( \mathrm { g } )$$

The following data were obtained, where

$$\text {Rate} = - \frac { d \left[ \mathrm { C } _ { 4 } \mathrm { H } _ { 6 } \right] } { d t }$$

$$\text {Time(s)} \quad \quad \quad \left[ \mathrm { C } _ { 4 } \mathrm { H } _ { 6 } \right] ( \mathrm { mol } / \mathrm { L } )$$

$$\begin{array} { r r } { 195 } \quad \quad \quad \quad \quad { 1.6 \times 10 ^ { - 2 } } \\ { 604 } \quad \quad \quad \quad \quad { 1.5 \times 10 ^ { - 2 } } \\ { 1246 } \quad \quad \quad \quad \quad { 1.3 \times 10 ^ { - 2 } } \\ { 2180 } \quad \quad \quad \quad \quad { 1.1 \times 10 ^ { - 2 } } \\ { 6210 } \quad \quad \quad \quad \quad { 0.68 \times 10 ^ { - 2 } } \end{array}$$

Determine the forms of the integrated rate law, the differential rate law, and the value of the rate constant for this reaction.

For each polynomial function, complete the following in order. Use synthetic division to find f(4), and give the coordinates of the corresponding point on the graph. $f(x)=3 x^{4}-4 x^{3}-22 x^{2}+15 x+18$

Consider the combustion of liquid methanol, $\ce{CH3OH(l)}$. What is ΔH for the reaction represented by this equation?

$$\ce{CH3OH(l) + 3/2O2(g)→CO2(g) +2H2O(l)}$$

A diving bell is a 3.0-m-tall cylinder closed at the upper end but open at the lower end. The temperature of the air in the bell is $20^{\circ} \mathrm{C}$. The bell is lowered into the ocean until its lower end is 100 m deep. The temperature at that depth is $10^{\circ} \mathrm{C}$. a. How high does the water rise in the bell after enough time has passed for the air inside to reach thermal equilibrium? b. A compressed-air hose from the surface is used to expel all the water from the bell. What mini mum air pressure is needed to do this?

Fill in the blank(s) to correctly complete each sentence. The vertical line through the point (-4, 8) has equation ____=-4.

How many atoms are in a $2.0 \mathrm{cm} \times 2.0 \mathrm{cm} \times 2.0 \mathrm{cm}$ cube of aluminum?

Which of the following compound(s) exhibit only London dispersion intermolecular forces? Which compound(s) exhibit hydrogen-bonding forces? Considering only the compounds without hydrogen-bonding interactions, which compounds have dipole–dipole intermolecular forces? $\mathrm{CO}_{2}$

At a certain temperature, $K = 1.1 \times 10 ^ { 3 }$ for the reaction

$$\mathrm { Fe } ^ { 3 + } ( a q ) + \mathrm { SCN } ^ { - } ( a q ) \rightleftharpoons \mathrm { FeSCN } ^ { 2 + } ( a q )$$

Calculate the concentrations of $\mathrm { Fe } ^ { 3 + } ,\ \mathrm { SCN } ^ { - } ,$ and $\mathrm { FeSCN } ^ { 2 + }$ at equilibrium if 0.020 mole of $\mathrm { Fe } \left( \mathrm { NO } _ { 3 } \right) _ { 3 }$ is added to 1.0 L of 0.10 M KSCN. (Neglect any volume change.)

Carbonate buffers are important in regulating the pH of blood at 7.40. If the carbonic acid concentration in a sample of blood is 0.0012 M, determine the bicarbonate ion concentration required to buffer the pH of blood at pH=7.40.

$$\mathrm { H } _ { 2 } \mathrm { CO } _ { 3 } ( a q ) \rightleftharpoons \mathrm { HCO } _ { 3 } ^ { - } ( a q ) + \mathrm { H } ^ { + } ( a q ) \quad \quad K _ { \mathrm { a } } = 4.3 \times 10 ^ { - 7 }$$

Will the following oxides give acidic, basic, or neutral solutions when dissolved in water? Write reactions to justify your answers. $\mathrm{SO}_{2}$

Apple regularly uses budgets. What is the difference between a production budget and a manufacturing budget?

Answer each question. By what expression should we multiply each side of $\frac{3 x-2}{(x+4)\left(3 x^{2}+1\right)}=\frac{A}{x+4}+\frac{B x+C}{3 x^{2}+1}$ so that there are no fractions in the equation?

Which of the following statements about intermolecular forces is(are) true? The hydrogen-bonding forces in $\mathrm{NH}_{3}$ are stronger than those in $\mathrm{H}_{2} \mathrm{O}.$