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What is the new volume of a gas with an initial volume of 3.08 L and an initial temperature of −73°C, when the temperature is changed to 104°C? Assume pressure and amount are held constant.

a. 2.46 L
b. 3.84 L
c. 3.08 L
d. 4.62 L

1 Answer

3 votes

Final answer:

To find the new volume of the gas, we can use the combined gas law formula: V1/T1 = V2/T2. By plugging in the values and solving, the new volume is approximately 4.74 L.

Step-by-step explanation:

To find the new volume of the gas, we can use the combined gas law formula: V1/T1 = V2/T2. First, we need to convert the initial and final temperatures from Celsius to Kelvin by adding 273.15. The initial temperature is -73°C + 273.15 = 200.15 K, and the final temperature is 104°C + 273.15 = 377.15 K. Next, plug in the values into the formula:

V1/T1 = V2/T2

3.08 L / 200.15 K = V2 / 377.15 K

Solve for V2:

V2 = (3.08 L / 200.15 K) * 377.15 K

V2 ≈ 4.74 L

Therefore, the new volume of the gas is approximately 4.74 L.

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