Standard enthalpy of vaporisation Δvap H⁰ for water at 100⁰C is 40.66 kJ mol⁻¹. The internal energy of vaporisation of water at 100⁰C (in kJ mol⁻¹) is
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Explanation:
Q = msΔt , Q = 1.5 x 4.2 x (60-30) x 1000, Q = 189 x 10³ J , Calorific value = 189 x 10³ / 6.3 = 30 kJ/g
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QUESTION
- Standard enthalpy of vaporisation Δvap H⁰ for water at 100⁰C is 40.66 kJ mol⁻¹. The internal energy of vaporisation of water at 100⁰C (in kJ mol⁻¹) is
EXPLANATION
GiVEN
- ΔvapH⁰ = 40.66 kJ mol⁻¹
- T = 100 + 273 = 373K
TO FiND
- ΔE = ¿?
SOLUTiON
I know that
ΔH = ΔE + Δn(g)RT
ΔE = ΔH – Δn(g) RT
where
- Δn(g) = number of gaseous moles of products – number of gaseous moles of reactants
H₂O(l) ⇌ H₂O(g)
So, Δn(g) = 1 – 0 = 1
ΔE = ΔH - RT
ΔE = ( 40.66 X 10³) – (8.314 X 373)
ΔE = 37.56 kJ/mol
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