Charles's Law states that at constant pressure, the volume of a fixed amount of gas varies directly with its temperature measured in degrees Kelvin. A gas has a volume of 250 mL at 300 K.
what is an equation for the relationship between volume and temperature?
Volume=constant*temperatureinK
250ml=constant*300k
constant = 250/300 mL/K
equation then is
Volume=(250/300 mL/K)*tempinK
The equation for the relationship between volume (V) and temperature (T) in accordance with Charles's Law is:
V1/T1 = V2/T2
Where:
V1 = initial volume
T1 = initial temperature
V2 = final volume
T2 = final temperature
In this specific case, the equation can be written as:
250 mL / 300 K = V2 / T2
The ratio of the initial volume to the initial temperature is equal to the ratio of the final volume to the final temperature.
To find the equation for the relationship between volume and temperature based on Charles's Law, we need to use the given information:
Volume (V) = 250 mL
Temperature (T) = 300 K
According to Charles's Law, the volume of a gas is directly proportional to its temperature. Mathematically, this can be represented as:
V ∝ T
Using this proportionality relationship, we can introduce a constant of proportionality (k) to create an equation:
V = k * T
To determine the value of k, we can rearrange the equation to solve for it. Since the volume is given as 250 mL at 300 K, we can substitute these values into the equation:
250 = k * 300
Solving for k:
k = 250 / 300
k ≈ 0.833
Substituting the value of k back into the equation, we get:
V = 0.833 * T
So, the equation relating volume (V) and temperature (T) is V = 0.833T
V = constant * T
250 mL = constant * 300 K
constant = 250 mL/300 K = .833... mL/K
so
V = .833 T