A sample of gas occupies 17 mL at –112C. What volume does the sample occupy at 70C?Group of answer choices8.0mL27 mL10.6 mL36mL
Question
A sample of gas occupies 17 mL at –112C. What volume does the sample occupy at 70C?Group of answer choices8.0mL27 mL10.6 mL36mL
Solution
To solve this problem, we can use the Charles's Law formula, which states that the volume of a gas is directly proportional to its temperature in Kelvin, as long as the pressure and the amount of gas are kept constant. The formula is V1/T1 = V2/T2.
Step 1: Convert the temperatures from Celsius to Kelvin. The formula to convert Celsius to Kelvin is K = C + 273.15.
T1 = -112C = -112 + 273.15 = 161.15 K T2 = 70C = 70 + 273.15 = 343.15 K
Step 2: Substitute the known values into the Charles's Law formula.
17 mL / 161.15 K = V2 / 343.15 K
Step 3: Solve for V2.
V2 = (17 mL / 161.15 K) * 343.15 K = 36.4 mL
So, the volume of the gas at 70C would be approximately 36 mL.
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