At s t p a certain mass of gas occupies a volume 790cm3 find the temperature at which the gas occupies 100cm3 and has a pressure of 726mmhg .P1V1=P2P2---T1 T2/
PV=kT
So, PV/T = k, which is constant.
That means you want to find T such that
726*100/T = 760*790/273
To find the temperature at which the gas occupies a volume of 100 cm3 and has a pressure of 726 mmHg, we can use the combined gas law equation:
P1V1 / T1 = P2V2 / T2
Where:
P1 = initial pressure = ?
V1 = initial volume = 790 cm3
T1 = initial temperature = ?
P2 = final pressure = 726 mmHg
V2 = final volume = 100 cm3
T2 = final temperature = ?
Since we are looking for T2, we rearrange the equation:
T2 = (P2V2 * T1) / (P1V1)
Now we need to determine the initial pressure (P1) and initial temperature (T1) of the gas. However, these values are not given in the question, so it is not possible to calculate the final temperature (T2) without more information.
To find the temperature at which the gas occupies a volume of 100 cm³ and has a pressure of 726 mmHg, we can use the combined gas law formula, which is derived from the ideal gas law.
The combined gas law formula is:
P1 * V1 / T1 = P2 * V2 / T2
where:
P1 = initial pressure
V1 = initial volume
T1 = initial temperature
P2 = final pressure
V2 = final volume
T2 = final temperature
We know the following values:
P1 = atmospheric pressure at standard temperature and pressure (at STP), which is 1 atm or approximately 760 mmHg.
V1 = initial volume = 790 cm³.
P2 = final pressure = 726 mmHg.
V2 = final volume = 100 cm³.
We need to find T2, the final temperature.
Rearranging the formula to solve for T2, we have:
T2 = (P2 * V2 * T1) / (P1 * V1)
Substituting the given values, we have:
T2 = (726 mmHg * 100 cm³ * T1) / (760 mmHg * 790 cm³)
T2 = (726 * 100 * T1) / (760 * 790)
Simplifying further, we can divide 726 by 760, and 100 by 790:
T2 = (0.955 * T1)
So, to find T2, you need to multiply the initial temperature (T1) by 0.955.
Note: The temperature in this calculation must be in absolute temperature scale (Kelvin), not Celsius or Fahrenheit. So if you're given the temperature in °C, make sure to convert it to Kelvin by adding 273.15.