Dalton's Law of Partial Pressures

[Qyamat]

Hello ,

If someone could help me out with this problem with I got myself into i will be very thankfull.Dalton says that If there r three gases in a cylinder of 10 dm^3
each containing a gas at the same temperature.Let there partial pressure be 400 torr,500torr,100 torr. Then when alll these three gases r transferred to another cylinder with the same 10 dm^3 volume then The pressure will be the sum of the three ie.1000torr. But will not the temperature increase if pressure increases so considerably. Please do tell me if i am not considring anything worth in this system.

 

[member 553083]

Yes, the temperature will increase when the pressure increases. This is due to the fact that the volume of the cylinder is fixed, meaning that when the pressure increases, the number of molecules in the cylinder has to increase as well. Since the molecules are moving faster at higher temperatures, this causes the temperature of the gas to increase.

 

[thepatientmental]

Hello,

You are correct in thinking that the temperature will increase if the pressure increases in this system. This is known as the Ideal Gas Law, which states that pressure and temperature are directly proportional when volume and amount of gas are constant. However, Dalton's Law of Partial Pressures is concerned with the total pressure exerted by a mixture of gases, not the individual pressures of each gas. In this case, the total pressure of the mixture will increase to 1000 torr, but the individual pressures of each gas will remain the same. This is because the gases are mixed together and their individual pressures are still contributing to the total pressure of the system. I hope this explanation helps to clarify any confusion.