Question

charless law
charless law describes this relationship between
and of a gas.
if the temperature of a gas
then the volume
if the temperature of a gas
then the volume
examples:
behavior of gases: using boyles law and charless law, fill in the blanks in each of the pairs of diagrams.

1. law

p1 = 10
v1 = 100
p2 = 20
v2 =

1. law

t1 = 40
v1 = 120
t2 = 10
v2 =

1. law

t1 = 15
v1 = 70
t2 = 30
v2 =

1. law

p1 = 25
v1 = 6
p2 = 5
v2 =

Explanation:

Step1: Recall Charles's Law

Charles's law states that at constant pressure, the volume $V$ of a gas is directly proportional to its absolute - temperature $T$, i.e., $\frac{V_1}{T_1}=\frac{V_2}{T_2}$.

Step2: Fill in the blanks for Charles's Law description

Charles's law describes the relationship between the volume and temperature of a gas. If the temperature of a gas increases, then the volume increases. If the temperature of a gas decreases, then the volume decreases.

Step3: Solve for $V_2$ in the first Charles's Law problem

We have $T_1 = 40$, $V_1=120$, $T_2 = 10$. Using $\frac{V_1}{T_1}=\frac{V_2}{T_2}$, we can cross - multiply to get $V_2=\frac{V_1T_2}{T_1}$. Substituting the values, $V_2=\frac{120\times10}{40}=30$.

Step4: Solve for $V_2$ in the second Charles's Law problem

We have $T_1 = 15$, $V_1 = 70$, $T_2=30$. Using $\frac{V_1}{T_1}=\frac{V_2}{T_2}$, we cross - multiply to get $V_2=\frac{V_1T_2}{T_1}$. Substituting the values, $V_2=\frac{70\times30}{15}=140$.

Step5: Recall Boyle's Law

Boyle's law states that at constant temperature, the pressure $P$ and volume $V$ of a gas are inversely proportional, i.e., $P_1V_1 = P_2V_2$.

Step6: Solve for $V_2$ in the Boyle's Law problem

We have $P_1 = 10$, $V_1 = 100$, $P_2 = 20$. Using $P_1V_1=P_2V_2$, we can solve for $V_2$ as $V_2=\frac{P_1V_1}{P_2}=\frac{10\times100}{20}=50$.

Step7: Solve for $V_2$ in the second Boyle's Law problem

We have $P_1 = 25$, $V_1 = 6$, $P_2 = 5$. Using $P_1V_1=P_2V_2$, we can solve for $V_2$ as $V_2=\frac{P_1V_1}{P_2}=\frac{25\times6}{5}=30$.

Answer:

1. Boyle's, $V_2 = 50$
2. Charles's, $V_2 = 30$
3. Charles's, $V_2 = 140$
4. Boyle's, $V_2 = 30$

Charles's law description: volume, temperature; increases, increases; decreases, decreases
Examples: A balloon expands when heated (temperature increases, volume increases); A balloon shrinks when cooled (temperature decreases, volume decreases)