Answer :
(a) The change in internal energy of the gas is 22.86 kJ.
(b) The change in enthalpy of the gas is 34.29 kJ.
Explanation :
(a) The formula used for change in internal energy of the gas is:
where,
= change in internal energy = ?
n = number of moles of gas = 5 moles
= heat capacity at constant volume = 2R
R = gas constant = 8.314 J/mole.K
= initial temperature =
= final temperature =
Now put all the given values in the above formula, we get:
The change in internal energy of the gas is 22.86 kJ.
(b) The formula used for change in enthalpy of the gas is:
where,
= change in enthalpy = ?
n = number of moles of gas = 5 moles
= heat capacity at constant pressure = 3R
R = gas constant = 8.314 J/mole.K
= initial temperature =
= final temperature =
Now put all the given values in the above formula, we get:
The change in enthalpy of the gas is 34.29 kJ.