Which gas effuses faster, He or Ar, and how much faster does it effuse? (a) He effuses 9.98 times as fast as Ar. (b) He effuses 3.16 times as fast as Ar. (c) Ar effuses 9.98 times as fast as He.
(d) Ar effuses 3.16 times as fast as He. (e) He and Ar effuse at the same rate.

Solve ar+2=3r-6t for r.

Let a and r be real numbers with r ≠ 1, and let S = a+ar+ar²+ar³+ ··· +arⁿˉ¹. Find S - rS

At 10 000 K the ionization reaction for argon as $\mathrm{Ar} \Leftrightarrow \mathrm{Ar}++\mathrm{e}-$ has an equilibrium constant of K = 4.2 $\times$ 10−4. What should the pressure be for a mole concentration of argon ions (Ar+) of 10%?

Place the following in order of increasing intermolecularforce strength.

$$\mathrm{BF}_3 \quad \text { Ar } \quad \mathrm{OCl}_2$$

a) $\mathrm{OCl}_2<\mathrm{Ar}<\mathrm{BF}_3$ d) $\mathrm{Ar}<\mathrm{OCl}_2<\mathrm{BF}_3$ b) $\mathrm{OCl}_2<\mathrm{BF}_3<\mathrm{Ar}$ e) $\mathrm{Ar}<\mathrm{BF}_3<\mathrm{OCl}_2$ c) $\mathrm{BF}_3<\mathrm{Ar}<\mathrm{OCl}_2$

A sample of ${ }^{37}$ Ar undergoes 8540 disintegrations/min initially but undergoes 6990 disintegrations/min after $10.0$ days. What is the half-life of ${ }^{37}$ Ar in days?

Determine the molar entropy for $1 \mathrm{~mol}$ of gaseous $\mathrm{Ar}$ at 200., 300., and $500 . \mathrm{K}$ and $V=1000 . \mathrm{cm}^3$ assuming that $\mathrm{Ar}$ can be treated as an ideal gas. How does the result of this calculation change if the gas is $\mathrm{Kr}$ instead of $\mathrm{Ar}$ ?

What is the sum of the terms of the geometric progression

$$a + ar + · · · + ar^n$$

when r ≠ 1?

Prove the formula for the sum of a finite geometric series with first term $a$ and common ratio $r \neq 1$:

$$\displaystyle\sum_{i = 1}^nar^{i - 1} = a + ar + ar^2 + \cdots + ar^{n - 1} = \dfrac{a(r^n - 1)}{r - 1}$$

What is the sum of the terms of the geometric progression $a+ar+a...+ar^n$ when $r\neq 1$?

The aqueous solubility at $20^{\circ} \mathrm{C}$ of $\mathrm{Ar}$ at $1.00 \mathrm{~atm}$ is equivalent to $33.7 \mathrm{~mL} \operatorname{Ar}(\mathrm{g})$, measured at STP, per liter of water. What is the molarity of Ar in water that is saturated with air at $1.00 \mathrm{~atm}$ and $20^{\circ} \mathrm{C}$ ? Air contains $0.934 \%$ Ar by volume. Assume that the volume of water does not change when it becomes saturated with air.

The formula for acceleration in a circle is

$$a = \frac{v^2}{r}$$

. Which of the following shows the equation solved for v? A. v = ar B.

$$v = \sqrt{ar}$$

C.

$$v^2 = ar$$

D.

$$v = \frac{\sqrt{a}}{r}$$

Suppose the coordinate of A is 0, AR = 5, and AT= 7. What are the possible coordinates of the midpoint of the given segment? __ AR

-ar -er -ir