Question
An ideal gas has pressure 2 atmospheric at 300 K. If the number of molecules are decreased to half, then at what temperature the pressure of gas will be again 2 atmospheric?
Solution
Given,
Ideal gas = 2 atm
Temperature, T = 300 K
Ideal gas equation is given by,
PV = nRT
So, we have
2V = n R 300 ... (1)
Now number of molecules of the gas is decreased to half. So, the pressure of the gas will decrease to half.
Let T' be the increased temperature to increase the pressure to 2 atm.
... (2)
From equations (1) and (2), we have
T' = 600 K
Ideal gas = 2 atm
Temperature, T = 300 K
Ideal gas equation is given by,
PV = nRT
So, we have
2V = n R 300 ... (1)
Now number of molecules of the gas is decreased to half. So, the pressure of the gas will decrease to half.
Let T' be the increased temperature to increase the pressure to 2 atm.
... (2)
From equations (1) and (2), we have
T' = 600 K
