At the grocery store, a bag of chips contains 0.10 L of air at 1.0 atm and 20 °C.The unopened bag of chips is taken on a camping trip in the mountains where the pressure is 0.90 atm and the temperature is 25 °C.What is the volume of air in the bag in the mountains?
A) 0.090 L
B) 0.11 L
C) 7.2 L
D) 0.14 L
E) 0.10 L

Question

Quizplus · Accepted Answer

To find the new volume of air in the bag, we can use the combined gas law, which is $P_1V_1/T_1 = P_2V_2/T_2$, where $P$ is pressure, $V$ is volume, and $T$ is temperature in Kelvin. First, convert temperatures to Kelvin: $20°C = 293K$ and $25°C = 298K$. Then, plug in the known values: $1.0 \text{ atm} \times 0.10 \text{ L} / 293 \text{ K} = 0.90 \text{ atm} \times V_2 / 298 \text{ K}$. Solving for $V_2$ gives approximately $0.11 \text{ L}$.

At the Grocery Store, a Bag of Chips Contains 0