Questions: If more than one variable was being manipulated and others were not being held constant, explain what gas law equation would need to be used to determine the other values.

If more than one variable was being manipulated and others were not being held constant, explain what gas law equation would need to be used to determine the other values.

Transcript text: If more than one variable was being manipulated and others were not being held constant, explain what gas law equation would need to be used to determine the other values.

Solution

Solution Steps

Step 1: Identify the Gas Law for Multiple Variables

When dealing with a situation where more than one variable is being manipulated and others are not held constant, the appropriate gas law to use is the Combined Gas Law. This law is derived from the ideal gas law and combines Boyle's Law, Charles's Law, and Gay-Lussac's Law. It is used to relate the pressure, volume, and temperature of a gas when the amount of gas is constant.

Step 2: Write the Combined Gas Law Equation

The Combined Gas Law is expressed as:

\[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \]

where:

\( P_1 \) and \( P_2 \) are the initial and final pressures,
\( V_1 \) and \( V_2 \) are the initial and final volumes,
\( T_1 \) and \( T_2 \) are the initial and final temperatures (in Kelvin).

Step 3: Explain the Use of the Combined Gas Law

The Combined Gas Law is useful when you need to calculate the change in one of the variables (pressure, volume, or temperature) while the other two are changing. It allows you to solve for the unknown variable when the initial and final states of the gas are known.