(D) The molar mass of $NH_4NO_3$ is $80 \ g/mol$.Heat evolved $(q)$ is calculated as $q = C \times \Delta T = 1.23 \ kJ/K \times 6.12 \ K = 7.5276 \ k

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(D) The molar mass of $NH_4NO_3$ is $80 \ g/mol$.Heat evolved $(q)$ is calculated as $q = C \times \Delta T = 1.23 \ kJ/K \times 6.12 \ K = 7.5276 \ kJ$.This heat is released by $1 \ g$ of $NH_4NO_3$.The molar heat of decomposition is calculated as $\Delta H = q \times \text{Molar Mass} = 7.5276 \ kJ/g \times 80 \ g/mol = 602.2 \ kJ/mol$.Since the decomposition is an exothermic process occurring in a bomb calorimeter,the value is negative: $-602 \ kJ/mol$.

Class 11 Chemistry Thermodynamics Mix Examples-Thermodynamics and Thermochemistry

Medium

One gram sample of $NH_4NO_3$ is decomposed in a bomb calorimeter. The temperature of the calorimeter increases by $6.12 \ K$. The heat capacity of the system is $1.23 \ kJ/K$. What is the molar heat of decomposition for $NH_4NO_3$ in $kJ/mol$?

AIIMS 2003 All AIIMS

A
$-7.53$
B
$-398.1$
C
$-16.1$
D
$-602$

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One gram sample of $NH_4NO_3$ is decomposed in a bomb calorimeter. The temperature of the calorimeter increases by $6.12 \ K$. The heat capacity of the system is $1.23 \ kJ/K$. What is the molar heat of decomposition for $NH_4NO_3$ in $kJ/mol$?

Similar Questions

For an isothermal expansion of $2 \, \text{mol}$ of a gas at $298 \, K$ from $5 \, dm^3$ to $40 \, dm^3$ under constant external pressure,the work done $(W)$ and the reversible work $(W_{rev})$ are,respectively:

Following data is known about the melting of a compound $AB$: $\Delta H = 9.2 \ kJ \ mol^{-1}$,$\Delta S = 0.008 \ kJ \ K^{-1} \ mol^{-1}$. Its melting point is:

The molar enthalpy change for $H_2O_{(l)} \rightleftharpoons H_2O_{(g)}$ at $373 \ K$ and $1 \ atm$ is $41 \ kJ \ mol^{-1}$. Assuming ideal behavior,the internal energy change for vaporization of $1 \ mol$ of water at $373 \ K$ and $1 \ atm$ in $kJ \ mol^{-1}$ is:

An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If $T_i$ is the initial temperature and $T_f$ is the final temperature,which of the following statements is correct?

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