A sample of gas occupies 17mL at -112 degrees Celsius. Assuming the pressure is held constant, what volume does the sample occupy at 70 degrees Celsius?
(V1/T1) = (V2/T2)
Remember T must be in kelvin.
To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming the pressure is constant.
Charles's Law can be mathematically represented as:
(V1 / T1) = (V2 / T2)
Where:
V1 is the initial volume of the gas
T1 is the initial temperature of the gas
V2 is the final volume of the gas (which we want to find)
T2 is the final temperature of the gas (given as 70 degrees Celsius)
Let's plug in the values we know into the equation:
(V1 / -112) = (V2 / 70)
Now, let's solve for V2 by cross-multiplying and rearranging the equation:
V2 = (V1 * 70) / -112
We are given that the initial volume, V1, is 17 mL. Let's substitute that value into the equation:
V2 = (17 * 70) / -112
Calculating this expression will give us the final volume, V2:
V2 = 1190 / -112 = -10.625 mL
Therefore, the sample of gas will occupy approximately -10.625 mL at 70 degrees Celsius. Note that the volume cannot be negative in this context, so this negative value indicates an error or inconsistency in the calculation or given information. Please recheck the calculations or provided data to ensure the accuracy of the answer.