JEE MAIN - Chemistry (2020 - 2nd September Morning Slot - No. 1)

The internal energy change (in J) When 90 g of water undergoes complete evaporation at 100oC is ____________.

(Given : $$\Delta $$Hvap for water at 373 K = 41 kJ/mol,
R = 8.314 JK–1 mol–1)
Answer
189494TO189495

Explanation

H2O(l) ⇌ H2O(g)

90 gm of H2O = $${{90} \over {18}}$$ moles of H2O = 5 moles of H2O

$$\Delta $$Hvap = $$\Delta $$U + $$\Delta $$ngRT

$$ \Rightarrow $$ $$\Delta $$U = $$\Delta $$Hvap - $$\Delta $$ngRT

= 41000 - 1$$ \times $$8.314$$ \times $$373

= 37898.878

For 5 moles, $$\Delta $$U = 37898.878 $$ \times $$ 5 = 189494.39 Joule

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