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Difference be...

Question

Difference between $△ H$ and $△ U$ for the combustion of benzene at $300 K$ is

A

7.48 k J

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B

3.74 k J

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C

14.86 k J

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D

5.73 k J

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Solution

The correct option is B $3.74 k J$
Combustion of benzene is represented by
$C_{6} H_{6} (l) + \frac{15}{2} O_{2} (g) \to 6 C O_{2} (g) + 3 H_{2} O (l)$
change in no. of moles of gaseous products and reactants
$Δ n = n_{p r o d u c t s} - n_{r e a c t a n t s}$
$△ n = 6 - \frac{15}{2} = - \frac{3}{2} From △ H = △ U + △ n R T △ H - △ U = △ n R T △ H - △ U = - \frac{3}{2} \times 8.314 \times 300 = - 3741.3 \times 10^{- 3} = - 3.74 k J$

The difference is asked in question so we can simply take the magnitude hence $3.74 k J$ is the answer.

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