Suppose you have two 1-L flasks, one containing

$$N_2$$

at STP, the other containing

$$CH_4$$

at STP. How do these systems compare with respect to number of molecules.

Factor each polynomial

$$6 a ^ { 2 } b ^ { 2 } - 12 a b ^ { 2 } - 18 b ^ { 3 }$$

Determine whether each of the following changes will increase, decrease, or not affect the rate with which gas molecules collide with the walls of their container: increasing the temperature

Suppose you have two 1-L flasks, one containing

$$N_2$$

at STP, the other containing

$$CH_4$$

at STP. How do these systems compare with respect to average kinetic energy of the molecules

Suppose you are given two 1-L flasks and told th at one contains a gas of molar mass 30, the other a gas of molar mass 60, both at the same temperature. The pressure in flask A is x atm, and the mass of gas in the flask is 1.2 g. The pressure in flask B is 0.5x atm, and the mass of gas in that flask is 1.2 g. Which flask contains the gas of molar mass 30, and which contains the gas of molar mass 60?

The speed of sound in different gases at a certain temperature T depends on the molar mass of the gases. Show that

$${\frac{v_1}{v_2}} = \sqrt{\frac{M_2}{M_1}},$$

where

$$v_1$$

is the speed of sound in a gas of molar mass

$$M_1$$

and

$$v_2$$

is the speed of sound in a gas of molar mass

$$M_2$$

.

Give the two elements that are liquids and the five (other than the six noble gases) that are gases at room temperature and atmospheric pressure.

What is the mole fraction of $\mathrm{C}_3 \mathrm{H}_8$ (g) in the flask before reaction?

Which halogens are gases at room temperature and atmospheric pressure?

With what neutral homonuclear diatomic molecules are the $NO ^{+}$and $NO ^{-}$ions isoelectronic (same number of electrons)?

Assume the central bank increases the quantity of money by 25%, even though the economy is initially in both short-run and long-run macroeconomic equilibrium. Describe the effects, in the short run and in the long run (giving numbers where possible), on the following:

aggregate output

A 1.00 L flask is filled with 1.25 g of argon at 25 ∘C. A sample of ethane vapor is added to the same flask until the total pressure is 1.450 atm.

A) What is the partial pressure of argon, P(Ar), in the flask?
B) What is the partial pressure of ethane, P(ethane), in the flask?

A sample of 3.00 g of

$$SO_2(g)$$

or iginally in a 5.00-L vessel at

$$21 ^ { \circ } \mathrm { C }$$

is transferred to a 10.0-L vessel at

$$26 ^ { \circ } \mathrm { C }$$

A sample of 2.35 g of

$$N_2(g)$$

originally in a 2.50-L vessel at

$$20 ^ { \circ } \mathrm { C }$$

is tran sferred to th is same 10.0-L vessel. What is the total pressure in the vessel?

A sample of 3.00 g of

$$SO_2(g)$$

or iginally in a 5.00-L vessel at

$$21 ^ { \circ } \mathrm { C }$$

is transferred to a 10.0-L vessel at

$$26 ^ { \circ } \mathrm { C }$$

A sample of 2.35 g of

$$N_2(g)$$

originally in a 2.50-L vessel at

$$20 ^ { \circ } \mathrm { C }$$

is tran sferred to this same 10.0-L vessel. What is the partial pressure of

$$N_2(g)$$

in this vessel?