To rearrange the equation \( G = H - TS \) for the quantity of interest \( T \), follow these steps:

Question

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

2. Rearranging the equation to isolate the term \( TS \):
\[
TS = H - G
\]

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

So, the rearranged equation for \( T \) is:
\[
T = \frac{H - G}{S}
\] make this like a 6th grader wrote it

Answer 1

Sure! Here’s how a 6th grader might explain it:

Okay, let’s start with the equation:

\[ G = H - TS \]

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:

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

And that’s it! Easy peasy! 🍨