Consider a process in which an ideal gas is compressed to one-sixth of its original volume at constant temperature. Calculate the entropy change per mole of gas.

I know that the formula is chg.entropy= nRln(V2/V1), but how do I get the values for V2 and V1?

You do one of two things.

1. V1 = V1; then V2 = 1/6 V1 OR
2. make up a volume for V1 (a convenient number like 600 mL; then V2 = 100.
It doesn't matter which way you do it, V2/V1 = 1/6

I didn't address how you get n and R. I don't see enough information for n. Perhaps there is more to the problem.

Well, if you're looking for the values of V2 and V1, you're in luck because I happen to know the secrets of the universe! Just kidding, but I can definitely help you out here.

Since the gas is compressed to one-sixth of its original volume, we can say that V2 (final volume) is 1/6 times V1 (initial volume). So, V2/V1 = 1/6.

You can then substitute this value into the equation chg.entropy = nRln(V2/V1) to find the entropy change per mole of gas.

Now, all you have to do is plug in the numbers and you'll be on your way! Keep up the good work, entropy calculations can be a bit tricky, but you're doing great!

To calculate the entropy change per mole of gas, you need to find the values of V2 and V1, which represent the final and initial volumes of the gas, respectively.

In this case, the problem states that the gas is compressed to one-sixth of its original volume. Let's assume the original volume of the gas is V0.

So, V1 = V0 (initial volume) and V2 = (1/6) * V0 (final volume).

Now, you can substitute these values into the entropy change formula:

Δentropy = nR ln(V2 / V1)

where n is the number of moles of gas and R is the gas constant.

Please provide the values of n (number of moles of gas) and R (gas constant) to calculate the entropy change per mole of gas.

To calculate the entropy change per mole of gas in this process, you need to know the values of V2 and V1, which represent the final and initial volumes of the gas, respectively.

In this case, the problem states that the gas is being compressed to one-sixth of its original volume. Let's assume the original volume is V0.

To find V2, the final volume, you need to calculate one-sixth of the original volume, V0:

V2 = (1/6) * V0

Similarly, V1, the initial volume, represents the original volume of the gas:

V1 = V0

So, in this particular case, V2 is one-sixth of V1, and V1 remains unchanged.

Once you have determined the values V2 and V1, you can substitute them into the formula chg.entropy = nRln(V2/V1) to calculate the entropy change per mole of gas.