Let's address each row of the table and determine the constants and missing law names based on the provided information.
1. Boyle's law:
- Variables:
- Pressure (P)
- Volume (V)
- Constant:
- Moles of gas and temperature (number of moles and temperature are constant when applying Boyle’s law)
- Equation:
- [tex]\( P_1 V_1 = P_2 V_2 \)[/tex]
2. Charles's law:
- Variables:
- Volume (V)
- Temperature (T)
- Constant:
- Pressure and moles of gas (pressure and number of moles are constant when applying Charles’s law)
- Equation:
- [tex]\( \frac{V_1}{T_1} = \frac{V_2}{T_2} \)[/tex]
3. Gay-Lussac's law:
- Variables:
- Temperature (T)
- Pressure (P)
- Constant:
- Volume and moles of gas (volume and number of moles are constant when applying Gay-Lussac’s law)
- Equation:
- [tex]\( \frac{P_1}{T_1} = \frac{P_2}{T_2} \)[/tex]
4. Combined gas law:
- Variables (Combination of all three laws):
- Pressure (P)
- Temperature (T)
- Volume (V)
- Constant:
- Number of moles (the number of moles is assumed to be constant when applying the combined gas law)
- Equation:
- [tex]\( \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \)[/tex]
Given these explanations, the answer to the question "What is assumed to be constant when using the combined gas law?" is:
Number of moles
