Okay, let’s start with the equation:

Question

\[
G = H - TS
\]

This equation is like a little math puzzle. We want to figure out what \( T \) is, which stands for temperature (kind of like how hot or cold something is!).

1. First, we want to move things around so that \( TS \) (that’s the temperature multiplied by something called entropy, \( S \)) is all by itself. So, let’s move \( TS \) to one side. We can do that by taking \( TS \) away from both sides, which gives us:

\[
TS = H - G
\]

2. Now we can see that \( TS \) equals whatever is left when we take \( G \) from \( H \).

3. Next, we want to make \( T \) stand alone. We can do this by dividing both sides by \( S \) (which is that other important thing). When we do that, we get:

\[
T = \frac{H - G}{S}
\]

So, in simple terms, if we know the values of \( H \), \( G \), and \( S \), we can find \( T \) (the temperature) using this formula:

\[
T = \frac{H - G}{S}
\]
make this smaller

Answer 1

Sure! Here’s a more concise explanation of how to isolate \( T \) in the equation \( G = H - TS \):

1. Start with the equation: \[ G = H - TS \]

2. Rearrange to isolate \( TS \): \[ TS = H - G \]

3. Divide both sides by \( S \) to solve for \( T \): \[ T = \frac{H - G}{S} \]

So, we find that the temperature \( T \) can be calculated using: \[ T = \frac{H - G}{S} \]

This formula allows us to determine \( T \) if we know \( H \), \( G \), and \( S \).