Answer :
(a). The final temperature of the gas in the cylinder A is 320 K.
(b). The final temperature of the gas in the cylinder B is 233.7 K.
(c). The final volume of the gas in the cylinder A is
(d). The final volume of the gas in the cylinder B is
Explanation :
Given that,
Number of mole n = 0.30 mol
Initial temperature = 320 K
Pressure = 3.0 atm
Final pressure = 1.0 atm
We need to calculate the initial volume
Using formula of ideal gas
Put the value into the formula
(a). We need to calculate the final temperature of the gas in the cylinder A
Using formula of ideal gas
In isothermally, the temperature is not change.
So, the final temperature of the gas in the cylinder A is 320 K.
(b). We need to calculate the final temperature of the gas in the cylinder B
Using formula of ideal gas
Put the value into the formula
(c). We need to calculate the final volume of the gas in the cylinder A
Using formula of volume of the gas
Put the value into the formula
(d). We need to calculate the final volume of the gas in the cylinder B
Using formula of volume of the gas
Hence, (a). The final temperature of the gas in the cylinder A is 320 K.
(b). The final temperature of the gas in the cylinder B is 233.7 K.
(c). The final volume of the gas in the cylinder A is
(d). The final volume of the gas in the cylinder B is
