Choose the one alternative that best completes the statement or answers the question.
-The volume of a gas varies inversely as the pressure and directly as the temperature (in Kelvin). If a certain gas occupies a volume of 2.4 liters at a temperature of $340 \mathrm{~K}$ and a pressure of 16 newtons per square centimeter, find the volume when the temperature is $408 \mathrm{~K}$ and the pressure is 8 newtons per square centimeter. Round your answer to the nearest tenth.
A) $5.8 \mathrm{~L}$
B) $1.0 \mathrm{~L}$
C) $32.0 \mathrm{~L}$
D) $51.0 \mathrm{~L}$

Question

Quizplus · Accepted Answer

The volume of a gas varies inversely with pressure and directly with temperature, which can be represented by the formula $V = k \frac{T}{P}$, where $V$ is volume, $T$ is temperature, $P$ is pressure, and $k$ is a constant. Given the initial conditions, we can solve for $k$ and then use it to find the new volume under the changed conditions. The calculation leads to a volume of approximately $5.8 \mathrm{~L}$, making option A correct.

Choose the One Alternative That Best Completes the Statement or Answers