You visited us 1 times! Enjoying our articles? Unlock Full Access!

Heat of Formation

If 100 mole...

Question

If $100$ mole of $H_{2} O_{2}$ decompose at $1$ bar and $300 K$ , the work done $(k J)$ by one mole of $O_{2} (g)$ as it expands against $1$ bar pressure is:
$2 H_{2} O_{2} (l) ⇌ 2 H_{2} O (l) + O_{2} (g)$ $(R = 8.3 J K^{- 1} {m o l}^{- 1})$

124.50

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

249.00

No worries! We‘ve got your back. Try BYJU‘S free classes today!

498.00

No worries! We‘ve got your back. Try BYJU‘S free classes today!

62.25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $124.50$
According to the reaction,

$100$ moles of $H_{2} O_{2}$ gives 50 moles of $O_{2}$ gas

$Δ n_{g}$ (Change in no of moles of gaseous species) $= 50 - 0 = 50$

$w = P Δ v = Δ n_{g} R T$
$= 50 \times 8.3 \times 300$
$= 124500 J$
$= 124.5 k J$

Suggest Corrections

Similar questions

H_{2} O_{2}

1

300

O_{2} (g)

1

2 H_{2} O_{2} (I) ⇋ 2 H_{2} O (l) + O_{2} (g)

J

4.5 g

H_{2} O_{2}

1 a t m

25^{o} C

2 H_{2} O_{2} (l) ⟶ O_{2} (g) + H_{2} O (l)

0.425 g

H_{2} O_{2}

127^{o} C

2 H_{2} O_{2} (ℓ) \to O_{2} (g) + 2 H_{2} O (ℓ) (R = 2 c a l / K m o l e)

Δ H_{f}^{o}

H_{2} O_{2} (l)

H_{2} O (l)

- 188 k J

{m o l}^{- 1}

- 286 k J

{m o l}^{- 1}

2 H_{2} O_{2} (l) \to 2 H_{2} O (l) + O_{2} (g)

2 N O (g) + O_{2} (g) \to 2 N O_{2} (g)

Δ H

- 113.1 kJ

6.0 moles

N O

3.0 moles

O_{2}

1.0 atm

300 K

N O_{2}

1.0 atm

R = \frac{1}{12} {L atm mol}^{- 1} K^{- 1}

Join BYJU'S Learning Program