Round to the nearest tenth unless indicated otherwise.
-The volume of a gas varies inversely as the pressure and directly as the temperature (in degrees Kelvin). If a certain gas occupies a volume of 2.2 liters at a temperature of 340 K and a pressure of 16 newtons per square
Centimeter, find the volume when the temperature is 306 K and the pressure is 24 newtons per square
Centimeter.
A) 3.7 L
B) 39.1 L
C) 1.3 L
D) 46.8 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 find $k$ and then use it to find the new volume under the changed conditions. The initial conditions give us $2.2 = k \frac{340}{16}$. Solving for $k$, we find that $k = \frac{2.2 \times 16}{340}$. Using this $k$ for the new conditions, $V = k \frac{306}{24}$, we can solve for the new volume, which results in approximately 1.3 liters.

Round to the Nearest Tenth Unless Indicated Otherwise