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A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37.0ºC. As it does so, it absorbs 208 J of heat. The values of q and w for the process will be:(R = 8.314 J/mol K) (ln 7.5 = 2.01)
Process is isothermal reversible expansion,
hence ΔU = 0, therefore q = – W.Since q = +208 J, W= –208 J
The species which by definition has ZERO standard molar enthalpy of formation at 298 K is
The species in its elemental form has zero standard molar enthalpy of formation at 298 K. At 298K, Cl2 is gas while Br2 is liquid.
For the process H2O(l) (1 bar, 373 K) ⟶ H2O(g) (1 bar,373K), the correct set of thermodynamic parameters is
Since, liquid is passing into gaseous phase so entropy will increase and at 373 K during the phase transformation it remains at equilibrium. So, ΔG = 0.
For a particular reversible reaction at temperature T, ΔH and ΔS were found to be both +ve. If Te is the temperature at equilibrium, the reaction would be spontaneous when
At equilibrium ΔG = 0
Hence, ΔG= ΔH– TeΔS = 0
ΔH= TeΔS or Te = \(\frac{\Delta H}{\Delta s}\)
For a spontaneous reaction
ΔG must be negative which is possible only if ΔH– TΔS < 0 ∴ ΔH > TΔS
or T > \(\frac{\Delta H}{\Delta s}\);
Te < T
Assuming that water vapour is an ideal gas, the internal energy change (ΔU)when 1 mol of water is vapourised at 1 bar pressure and 100°C, (given : molar enthalpy of vapourisation of water at 1 bar and 373 K = 41 kJ mol-1 and R = 8.3 J mol-1 K –1) will be
Given ΔH = 41 kJ mol–1 = 41000 J mol-1
T = 100°C = 273 + 100 = 373 K
n =1
ΔU = ΔH – ΔnRT = 41000 – (1 × 8.314× 373)
=37898.88 J mol-1 ≃ 37.9 kJ mol-1