A flask is filled with 13 g of an ideal gas at 27^(@)C and its temperature is raised to 52^(@)C. Find the mass of the gas that has to be released to maintain the temperature of the gas in the flask at 52^(@)C and the pressure is same as the initial pressure.

A flask is filled with 13 g of an ideal gas at 27^(@)C and its tempera

1.	A flask is filled with 13 g of an ideal gas at 27^(@)C and its temperature is raised to 52^(@)C. Find the mass of the gas that has to be released to maintain the temperature of the gas in the flask at 52^(@)C and the pressure is same as the initial pressure.
Answer» SOLUTION :Let n be the initial number of moles and n. be the final number of moles. Since PRESSURE and volume REMAIN the same, we have `PV=nRT=nRxx300=n.Rxx325` `(n.)/(n)=(300)/(325)=(12)/(13)` `("Final mass")/("Initial mass")=(12)/(13)RARR" Final mass"=(12)/(13)xx13=12g` `"Mass to be released "=13-12=1g`