A flask containing air is heated from 300K to 400K. the percentage of air escaped out is..
To calculate the percentage of air that escapes from the flask when it is heated, we need to consider the ideal gas law. The ideal gas law relates the pressure, volume, and temperature of a gas.
The ideal gas law equation is given as: PV = nRT
Where:
P is the pressure of the gas
V is the volume of the gas
n is the number of moles of the gas
R is the ideal gas constant
T is the temperature of the gas in Kelvin
In this case, we are only interested in the change in temperature and its effect on the volume of the air in the flask. We can assume that the pressure remains constant, as the flask is likely open to the atmosphere.
So, the equation becomes: V1 / T1 = V2 / T2
Where:
V1 is the initial volume of air in the flask
T1 is the initial temperature of the air in Kelvin
V2 is the final volume of air in the flask (which includes the air that escaped)
T2 is the final temperature of the air in Kelvin
Let's assume that the initial volume of air in the flask is V1 and the final volume of air after some air escapes is V2.
Now, to find the percentage of air that escaped, we can use the following formula:
Percentage of air escaped = (V1 - V2) / V1 * 100
We know that the initial temperature T1 is 300K, and the final temperature T2 is 400K.
To find the final volume V2, we rearrange the equation: V2 = V1 * (T2 / T1).
Now, we can substitute the values into the percentage formula:
Percentage of air escaped = (V1 - (V1 * (T2 / T1))) / V1 * 100
Simplifying it further, we get:
Percentage of air escaped = (1 - (T2 / T1)) * 100
Now we can substitute the values of T1 = 300K and T2 = 400K into the formula:
Percentage of air escaped = (1 - (400 / 300)) * 100
Percentage of air escaped = (1 - 1.33) * 100
Percentage of air escaped = -0.33 * 100
Therefore, the percentage of air escaped from the flask when it is heated from 300K to 400K is -33%. Note that a negative percentage indicates a decrease in volume; in this case, it means air has escaped from the flask.
V1/T1 = V2/T2
I would start with a convenient number, say 100 mL for V1, calculate the V2 and go from there.