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 $2.1$ liters at a temperature of $340 \mathrm {~K}$ and a pressure of 22 newtons per square centimeter, find the volume when the temperature is $442 \mathrm {~K}$ and the pressure is 11 newtons per square centimeter.
A) $35.5 \mathrm {~L}$
B) $0.8 \mathrm {~L}$
C) $5.5 \mathrm {~L}$
D) $32.5 \mathrm {~L}$

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 new conditions. The new volume, when calculated, is $5.5 \mathrm {~L}$.

Round to the Nearest Tenth Unless Indicated Otherwise 2.12.12.1 Liters at a Temperature Of

Round to the Nearest Tenth Unless Indicated Otherwise $2.1$ Liters at a Temperature Of