5. A student has the following data: V1 = 822 mL, T1 = 75°C and T2 = -25°C. He calculates V2 and gets -274 mL is this value correct? Explain why or why not.
(V1/T1) = (V2/T2)
Substitute and solve for V2. Don't forget t change temperature to kelvin. But you know before calculating that it isn't right; you CAN'T have a negative volume can you?
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To determine if the calculated value of -274 mL is correct for V2, we need to use Charles' Law, which states that the volume of a gas is directly proportional to its temperature when pressure is held constant.
Charles' Law can be written as V1/T1 = V2/T2, where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.
Here, the student has V1 = 822 mL, T1 = 75°C, and T2 = -25°C. Plugging these values into the equation, we can solve for V2.
V1/T1 = V2/T2
822 mL / 75°C = V2 / -25°C
To isolate V2, we can cross-multiply and then solve for V2.
V2 = (822 mL / 75°C) * -25°C
V2 = -27400 mL°C / 75
V2 ≈ -365.33 mL
Based on the calculation, the value of -274 mL is not correct for V2. The correct value for V2 is approximately -365.33 mL.
To determine whether the value of V2 = -274 mL is correct or not, we need to use the ideal gas law equation:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
However, since we don't have the pressure or the number of moles, we can use a simplified version of the ideal gas law equation:
(V1 / T1) = (V2 / T2)
Let's substitute the given values:
(V1 / T1) = (V2 / T2)
(822 mL / 75°C) = (V2 / -25°C)
First, we should convert the temperatures from Celsius to Kelvin:
T1 = 75°C + 273.15 = 348.15 K
T2 = -25°C + 273.15 = 248.15 K
Next, we can solve for V2:
(822 mL / 348.15 K) = (V2 / 248.15 K)
Now, let's cross multiply and solve for V2:
V2 = (822 mL * 248.15 K) / 348.15 K
V2 ≈ 584.75 mL
Therefore, the correct value for V2 is approximately 584.75 mL. The value of -274 mL is not correct because it does not match the calculated value based on the given data.