To solve the equation \( PV = nRT \) for \( T \), follow these steps:

1. Start with the equation:
   \[
   PV = nRT
   \]

2. Divide both sides of the equation by \( nR \) to isolate \( T \):
   \[
   T = \frac{PV}{nR}
   \]

So, the solution for \( T \) is:
\[
T = \frac{PV}{nR}
\]

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:
1. What do the variables \( P \), \( V \), \( n \), \( R \), and \( T \) represent in this equation?
2. How does the temperature \( T \) change if the pressure \( P \) increases while keeping \( V \), \( n \), and \( R \) constant?
3. Can you solve for \( T \) if you are given specific values for \( P \), \( V \), \( n \), and \( R \)?
4. What is the ideal gas constant \( R \) and how is it used in different units?
5. How does the equation \( PV = nRT \) relate to the ideal gas law?

**Tip:** When using the ideal gas law, ensure the units of \( R \) match the units of pressure, volume, and temperature to avoid errors.

Understand how to solve the Ideal Gas Law equation PV = nRT for temperature T with a clear step-by-step guide. This problem involves key concepts from algebra and thermodynamics, including the Ideal Gas Law formula. Suitable for students in Grades 9-12.

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