When the temperature and number of particles of a gas are constant, which of the following is also constant?

Question

BlackTom AI · Accepted Answer

To analyze this question, I’ll consider what remains constant when temperature and number of particles are fixed for a gas.
Option 1: the sum of the pressure and volume. If T and n are constant, Boyle's law tells us P is inversely proportional to V (P ∝ 1/V). The sum P + V would vary as V changes, so this sum is not generally constant. Misconception here is treating P and V as independent even though they trade off with each other under constant T and n.
Option 2: the difference of the pressure and volume. Similar to the sum, P − V would also change as V changes to satisfy the gas law. There isn’t a reason for their difference to stay fixed when P and V adjust to maintain P ∝ 1/V. This choice ignores the inverse relationship between P and V.
Option 3: the product of the pressure and volume. Under constant temperature and amount of gas, Boyle’s law states that P × V = constant. This is the defining relationship that preserves a fixed product when T and n do not change. The key concept here is that pressure and volume compress or expand in a way that keeps their product the same.
Option 4: the ratio of the pressure and volume. While P/V does change with V unless P changes in just the right way, there is no general principle guaranteeing P/V is constant for a fixed T and n. The ratio depends on the particular state and does not stay fixed in all scenarios described by the problem.
In summary, the only option that aligns with the standard gas law under constant T and n is the product P × V, which remains constant as P and V vary inversely to one another. The other options fail because they rely on additive or ratio relationships that do not hold constant in Boyle’s framework.

Chemistry (H) - Varnold - Preparatory Academy - 2nd Semester - 2024/2025 Gases Practice Test for the Final

When the temperature and number of particles of a gas are constant, which of the following is also constant?

View Explanation

Log in for full answers

Similar Questions

If the volume of a container of gas changes, the pressure of the gas will change in an inverse manner.

Pressure is inversely proportional to:

Question at position 53 According to Boyle's Law, what happens to the pressure of a gas when the volume of its container is halved, assuming constant temperature?Pressure becomes zeroPressure remains the samePressure is halvedPressure doubles

An increase in the volume of a closed container filled with air would have what effect on the pressure of the container?

Question at position 1 At a constant temperature, as the pressure decreases, the volume of gas decreases.TrueFalse

If the volume of a container of gas is reduced, what will happen to the pressure inside the container?

The volume of a gas is reduced from 4.0 L to 0.5 L while the temperature is held constant. How does the gas pressure change?

The volume of a gas is doubled while the temperature is held constant. How does the gas pressure change?

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler