Question

A gas sample in a closed, expandable container of initial volume 5.00 l was allowed to warm from 25 °c to 35 °c. What was its new volume?

1) 7.00 l
2) 4.84 l
3) 5.17 l
4) 3.57 l
5) 4380 l

Answer 1

To find the new volume, we can use Charles' Law, which states that the volume of a gas is directly proportional to its temperature (at constant pressure). By plugging in the given values and using the formula V1/T1 = V2/T2, we find that the new volume is 5.17 liters.

Step-by-step explanation:

To solve this problem, we can use Charles' Law, which states that the volume of a gas is directly proportional to its temperature (at constant pressure). We can use the formula V1/T1 = V2/T2, where V1 is the initial volume, T1 is the initial temperature in Kelvin, V2 is the final volume, and T2 is the final temperature in Kelvin.

First, we need to convert the initial and final temperatures from Celsius to Kelvin. To do this, we add 273 to each temperature. So, the initial temperature becomes 25°C + 273 = 298 K, and the final temperature becomes 35°C + 273 = 308 K.

Next, we use the formula V1/T1 = V2/T2 to find the final volume:

V2 = (V1 * T2) / T1 = (5.00 L * 308 K) / 298 K = 5.17 L

Therefore, the new volume of the gas sample is 5.17 liters. The correct answer is option 3).