The relation between heat at constant pressure (\( \Delta H \)) and at constant volume (\( \Delta U \)) is:
\( \Delta H = \Delta U + \Delta n_g RT \)
For benzoic acid:
\( C_6H_5COOH(s) + \frac{15}{2} O_2(g) \rightarrow 7CO_2(g) + 3H_2O(l) \)
\( \Delta n_g = 7 - \frac{15}{2} = -\frac{1}{2} \). Substituting:
\( \Delta H = -321.30 - \frac{1}{2} R \times 300 \)
Here, \( R \approx 8.314 \, \text{J/mol.K} \). Solving gives:
\( x = 150 \)
Match List-I with List-II.
Choose the correct answer from the options given below :
The ratio of the fundamental vibrational frequencies \( \left( \nu_{^{13}C^{16}O} / \nu_{^{12}C^{16}O} \right) \) of two diatomic molecules \( ^{13}C^{16}O \) and \( ^{12}C^{16}O \), considering their force constants to be the same, is ___________ (rounded off to two decimal places).}
A heat pump, operating in reversed Carnot cycle, maintains a steady air temperature of 300 K inside an auditorium. The heat pump receives heat from the ambient air. The ambient air temperature is 280 K. Heat loss from the auditorium is 15 kW. The power consumption of the heat pump is _________ kW (rounded off to 2 decimal places).
Match List-I with List-II: List-I