At 389 K, a sample of gas has a volume of 3.20 L. What volume does the gas occupy at 342 K?

Use the sample problem below and follow the 5 steps to help you solve the problem you were given.

a
3.64 L
b
2.81 L
c
1.15 L
d
228 L

1 answer

To solve this problem, we can use Gay-Lussac's law which states that the pressure and volume of a gas are directly proportional at constant temperature.

1. Write down the given values:
Temperature T1 = 389 K
Volume V1 = 3.20 L
Temperature T2 = 342 K
Unknown volume V2 = ?

2. Write down the formula for Gay-Lussac's law:
V1 / T1 = V2 / T2

3. Substitute the given values into the equation:
3.20 L / 389 K = V2 / 342 K

4. Solve for V2:
Cross-multiply:
3.20 L * 342 K = V2 * 389 K
V2 = (3.20 L * 342 K) / 389 K
V2 = 2.81 L

5. The gas will occupy a volume of 2.81 L at 342 K.

Therefore, the answer is b) 2.81 L.