A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of $5.00 \mathrm{~atm}$ and a volume of $12.0 \mathrm{~L}$ to a final volume of $30.0 \mathrm{~L}$. What are the initial and final temperatures?

A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of $5.00 \mathrm{~atm}$ and a volume of $12.0 \mathrm{~L}$ to a final volume of $30.0 \mathrm{~L}$. Find $Q, W$, and $\Delta E_{\text {int }}$.

The table shows the low temperatures in Nome, Alaska, for five days in February. Which dates had low temperatures above $10^{\circ} \mathrm{F}$ ?

$$\begin{array}{|l|c|c|c|c|c|} \hline \text { Date } & \text { Feb. 22 } & \text { Feb. } 23 & \text { Feb. 24 } & \text { Feb. 25 } & \text { Feb. 26 } \\ \hline \text { Low Temp. } & -20^{\circ} \mathrm{F} & -11^{\circ} \mathrm{F} & 20^{\circ} \mathrm{F} & 17^{\circ} \mathrm{F} & -15^{\circ} \mathrm{F} \\ \hline \end{array}$$

A $3.65-\mathrm{mol}$ sample of an ideal diatomic gas expands adiabatically from a volume of $0.1210 \mathrm{~m}^3$ to $0.750 \mathrm{~m}^3$. Initially the pressure was $1.00 \mathrm{~atm}$. Determine the initial and final temperatures. (Assume no molecular vibration.)

In the following problem, assume that the given function is periodically extended outside the original interval.

$$f(x)=\left\{\begin{array}{lr}0, & -\pi \leq x<0, \\ 2 x, & 0 \leq x<\pi\end{array}\right.$$

Sketch the graph of the function to which the series converges for three periods.

Delta Cephei is one of the most visible stars in the night sky. Its brightness has periods of 5.4 days, the average brightness is 4.0 and its brightness varies by \pm 0.35 . Find a formula that models the brightness of Delta Cephei as a function of time, $t$, with $t=0$ at peak brightness.

Use the function $f$ defined and graphed below to answer the questions.

$$f(x)= \begin{cases}x^2-1, & -1 \leq x<0 \\ 2 x, & 0<x<1 \\ 1, & x=1 \\ -2 x+4, & 1<x<2 \\ 0, & 2<x<3\end{cases}$$

Does $\lim\limits_{x \rightarrow 1} f(x)=f(1)$?

In the following problem, assume that the given function is periodically extended outside the original interval.

$$f(x)=\left\{\begin{array}{rr}-2, & -1 \leq x<0, \\ 2, & 0 \leq x<1\end{array}\right.$$

Sketch the graph of the function to which the series converges for three periods.

Convert the following temperatures. a. $30 .{ }^{\circ} \mathrm{C}$ to ${ }^{\circ} \mathrm{F}$ c. $14 \mathrm{~K}$ to ${ }^{\circ} \mathrm{C}$ b. $72^{\circ} \mathrm{F}$ to $\mathrm{K}$ d. $342 \mathrm{~K}$ to ${ }^{\circ} \mathrm{F}$

Indicate whether each of the following is characteristic of the fission process, the fusion process, or both.

(a). Less radioactive waste is produced.

(b). Large amounts of energy are released.

(c). The reactants are hydrogen nuclei.

(d). Extremely high temperatures are needed to initiate the reaction.

Use the table that shows a five-day forecast indicating high $(\mathrm{H})$ and low (L) temperatures.

What are the dimensions of the matrix?

The Figure discussed earlier shows the distribution of kineric energy of molecules in a gas at temperatures 300 kelvins and 500) kelvins. At higher temperatures, more of the molecules in a gas have higher kinetic energies. Which graph corresponds to which temperature?

Use the table that shows a five-day forecast indicating high $(\mathrm{H})$ and low (L) temperatures.

Organize the temperatures in a matrix.

Meteorology Find the midrange of the following daily temperatures, which were recorded at three-hourintervals.

-6$^{\circ}$, 4$^{\circ}$, 14$^{\circ}$, 21$^{\circ}$, 25$^{\circ}$, 26$^{\circ}$, 18$^{\circ}$, 12$^{\circ}$, 2$^{\circ}$