Digital PSAT Math Practice Question 165: Answer and Explanation
Question: 165
The ideal gas equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. According to the equation, the volume of a gas is inversely related to
- A. the number of moles.
- B. gas constant.
- C. temperature.
- D. none of the above.
Correct Answer: D
Explanation:
(D) Solve for V:
Recall that, in general, y is directly proportional to x if y = cx for some constant c, and y is inversely proportional if . In our case, we are told that R is the gas constant, so we can think of this as our constant. So V is directly proportional to n and T. If you increased either of these variables, V would also increase. V is inversely proportional only to P, which isn't an answer choice. So choice (D) is the correct answer.
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