Question

If a gas is collected at 25.45 degrees Celsius with an unknown volume, what is the original volume if the final temperature is 170.4 K, and the volume is 115 L?

A) 102.3 L
B) 120.5 L
C) 95.8 L
D) 135.7 L

Answer 1

To find the original volume, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming the pressure and amount of gas remain constant. By plugging in the given values and solving for the unknown, we find that the original volume of the gas was approximately 202.18L.

Step-by-step explanation:

To find the original volume, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming the pressure and amount of gas remain constant.

We can use the reciprocal form of Charles's Law:

T1/V1 = T2/V2

Let T1 be the initial temperature in kelvins (convert 25.45°C to kelvins), V1 be the initial volume (unknown), T2 be the final temperature (convert 170.4K to kelvins), and V2 be the final volume (115L). Now we can plug in the values and solve for V1:

25.45°C + 273 = 298.45K

298.45K / V1 = 170.4K / 115L

V1 = (298.45K * 115L) / 170.4K = 202.18L

Therefore, the original volume of the gas was approximately 202.18L.