the temperature of a gas in sealed container changes from 20. c to 40.0 C. If the volume remains constant,the pressure will change from 660 torr to ?
This answer is not correct. First, it is
(P1/T1) = (P2/T2)
Second, you may NOT use celsius for T, it must be converted to Kelvin which is 20 = 293K and 40 is 313.
To find the new pressure, we can use the ideal gas law equation:
P1 * V1 = P2 * V2
Given that the volume remains constant (V1 = V2), we can simplify the equation to:
P1 = P2 * (V2 / V1)
We are given the initial pressure (P1 = 660 torr) and the initial and final temperatures (T1 = 20 °C and T2 = 40 °C, respectively).
However, the ideal gas law requires the temperature to be in Kelvin (K) instead of Celsius (°C). So we need to convert the temperatures:
T1 = 20 °C + 273.15 = 293.15 K
T2 = 40 °C + 273.15 = 313.15 K
Now we can rearrange the equation to solve for P2:
P2 = (P1 * V1) / V2
Substituting the given values:
P2 = (660 torr * V1) / V2
Since the volume remains constant, V2 / V1 is equal to 1, so the equation becomes:
P2 = (660 torr * 1) / 1
Therefore, the pressure will change to 660 torr.
To calculate the new pressure of the gas in the sealed container, we can use Charles' Law, which states that at constant pressure, the volume of a gas is directly proportional to its temperature.
Since the volume remains constant, we can assume that the pressure and temperature are directly related. We can set up a proportion using the initial and final temperatures and pressures:
(initial pressure) / (initial temperature) = (final pressure) / (final temperature)
Plugging in the given values:
660 torr / 20 °C = (final pressure) / 40 °C
To find the final pressure, we need to solve for it:
660 torr * (40 °C / 20 °C) = final pressure
Simplifying the equation:
660 torr * 2 = final pressure
1320 torr = final pressure
So, the pressure will change from 660 torr to 1320 torr.
You would use gay-lussac's law.
P1/P1 = P2/P2
SO you plug your values in and get...
(660 torr)/(20celsius) = (? torr)/(40celsius)
....
(26400 torr/celsius) = (20celsius)(? torr)
then divide by 20 degrees celsius
and then you get 1320 torr as your answer.