The phrase in terms of signals a formula rearrangement: the answer keeps the other letters as symbols and puts the requested letter alone. Find everything multiplying that letter, then divide both sides by the entire product. Dividing by only one factor leaves the letter attached to another; multiplying instead moves you farther from isolating it.
Hints
- Hint 1
In a formula rearrangement, the requested letter must stand alone on one side. The other letters stay in the answer. Which factors multiply the letter you need to isolate?
- Hint 2
The equation has , so the whole product multiplies . Division undoes multiplication. What happens when you divide both sides by ?
Step-by-step
Divide by the factors multiplying R
Step 1Divide both sides by nT
No Desmos needed. One division isolates in this symbolic formula. The factors and multiply , so divide both sides by their whole product (provided ). Write the side containing first:
- Step 2
Cancel the matching factors
The factors cancel on the left because :
So the universal gas constant is pressure times volume divided by the product of the amount of substance and temperature. Choice B.