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\begin{tabular}{|c|c|c|c|}
\hline Name & Variables & Constants & Equation \\
\hline Boyle's Law & pressure, volume & temperature, moles of gas & [tex]$P_1 V_1=P_2 V_2$[/tex] \\
\hline Charles's Law & volume, temperature & pressure, moles of gas & [tex]$\frac{V_1}{T_1}=\frac{V_2}{T_2}$[/tex] \\
\hline Gay-Lussac's Law & temperature, pressure & volume, moles of gas & [tex]$\frac{P_1}{T_1}=\frac{P_2}{T_2}$[/tex] \\
\hline Combined Gas Law & pressure, temperature, volume & moles of gas & [tex]$\frac{P_1 V_1}{T_1}=\frac{P_2 V_2}{T_2}$[/tex] \\
\hline
\end{tabular}

What is assumed to be constant when using the combined gas law?

A. pressure

B. number of moles

C. volume and moles of gas

D. pressure and temperature

Sagot :

GinnyAnswer
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
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