998 L, the pressure remaining constant. Calculate q, w, and DeltaE for the heliu

Question

998 L, the pressure remaining constant. Calculate q, w, and DeltaE for the helium in the balloon. (The molar heat capacity for helium gas is 20.8 J/degreeC mol.) One mole of H_2O(g) at 1.00 atm and 100.degreeC occupies a volume of 30.6 L. When 1 mole of H_2O(g) is condensed to 1 mole of H_2O(l) at 1.00 atm and 100.degreeC, 40.66 kJ of heat is released. If the density of H_2O(l) at this temperature and pressure is 0.996 g/cm^3, calculate DeltaE for the condensation of 1 mole of water at 1.00 atm and 100.degreeC.

Explanation / Answer

Mass of 1 mole of H2O = 18 g/mole

Thus, volume of 1 L of H2O(l) = mass/density = 18/0.996 = 18.072 ml = 0.018072 litres

change in volume = 36 - 0.018072 = 35.982 litres

Thus, work done = p*dV = 1*35.982*101.325 = 3645.87 J

Thus, change in internal energy = energy released - work done = 37014.13 J = 37.014 kJ

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