Match the graphs between the following variables with their names.
| Graphs | Names | ||
|---|---|---|---|
| A. | Pressure vs temperature graph at constant molar volume | 1. | Isotherms |
| B. | Pressure vs volume graph at constant temperature | 2. | Constant temperature curve |
| C. | Volume vs temperature graph at constant pressure | 3. | Isochores |
| 4. | Isobars |
$$\mathrm{A.\to(3)\quad \mathrm{B.} \to (1)\quad \mathrm{C.}\to(4)}$$
A. When molar volume is constant, the $p-T$ graph is called isochore.
B. When temperature is constant, the $p-V$ graph is called isotherm.
C. When pressure is constant, $V-T$ graph is called isobar.
Match the following gas laws with the equation representing them.
| Graphs | Names | ||
|---|---|---|---|
| A. | Boyle's law | 1. | $V \propto n$ at constant $T$ and $p$ |
| B. | Charle's law | 2. | $p_{\text {Total }}=p_1+p_2+p_3+\ldots$ at constant $T, V$ |
| C. | Dalton's law | 3. | $\frac{p V}{T}=$ constant |
| D. | Avogadro's law | 4. | $V \propto T$ at constant $n$ and $p$ |
| 5. | $p \propto \frac{1}{V}$ at constant $n$ and $T$ |
A. $\rightarrow(5)$
B. $\rightarrow(4)$
C. $\rightarrow(2)$
D. $\rightarrow$ (1)
A. Boyle's law, $p \propto \frac{1}{V}$ at constant $T$ and $n$.
B. Charle's law, $V \propto T$ at constant $p$ and $n$.
C. Dalton's law, $p_{\text {Total }}=p_1+p_2+p_3+\ldots$ at constant $T, V$.
D. Avogadro's law, $V \propto n$ at constant $T$ and $p$.
Match the following graphs of ideal gas with their coordinates.
| Graphical representation | X and Y coordinates | ||
|---|---|---|---|
| A. |  |
1. | $$pV$$ vs. $$V$$ |
| B. | |
2. | $$p$$ vs. $$V$$ |
| C. |  |
3. | $$p$$ vs. $$\frac{1}{V}$$ |
A. $\rightarrow(2)$
B. $\rightarrow$ (3)
C. $\rightarrow$ (1)
Assertion (A) Three states of matter are the result of balance between intermolecular forces and thermal energy of the molecules.
Reason (R) Intermolecular forces tend to keep the molecules together but thermal energy of molecules tends to keep them apart.
Assertion (A) At constant temperature, $p V v s V$ plot for real gases is not a straight line.
Reason (R) At high pressure all gases have $Z>1$ but at intermediate pressure most gases have $Z<1$.