QuestionJune 7, 2025

A 2 mol sample of methyl bromide (CH_(3)Br) undergoes the phase change shown below. The enthalpy of vaporization and the enthalpy of fusion are also given. CH_(3)Br(s)arrow CH_(3)Br(I) Delta H_(vap)=23kJ/mol Delta H_(fus)=6.0kJ/mol The change in enthalpy is most nearly: -12kJ -46kJ +12kJ +46kJ

A 2 mol sample of methyl bromide (CH_(3)Br) undergoes the phase change shown below. The enthalpy of vaporization and the enthalpy of fusion are also given. CH_(3)Br(s)arrow CH_(3)Br(I) Delta H_(vap)=23kJ/mol Delta H_(fus)=6.0kJ/mol The change in enthalpy is most nearly: -12kJ -46kJ +12kJ +46kJ
A 2 mol sample of methyl bromide (CH_(3)Br) undergoes the phase change shown below. The enthalpy of vaporization and the enthalpy of fusion are also given. CH_(3)Br(s)arrow CH_(3)Br(I) Delta H_(vap)=23kJ/mol Delta H_(fus)=6.0kJ/mol The change in enthalpy is most nearly: -12kJ -46kJ +12kJ +46kJ

Solution
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Answer

The change in enthalpy is most nearly +58 \, \text{kJ}. Explanation 1. Calculate Enthalpy Change for Fusion Multiply the enthalpy of fusion by the number of moles: 2 \, \text{mol} \times 6.0 \, \text{kJ/mol} = 12 \, \text{kJ}. 2. Calculate Enthalpy Change for Vaporization Multiply the enthalpy of vaporization by the number of moles: 2 \, \text{mol} \times 23 \, \text{kJ/mol} = 46 \, \text{kJ}. 3. Sum the Enthalpy Changes Add the results from Step 1 and Step 2: 12 \, \text{kJ} + 46 \, \text{kJ} = 58 \, \text{kJ}.

Explanation

1. Calculate Enthalpy Change for Fusion<br /> Multiply the enthalpy of fusion by the number of moles: $2 \, \text{mol} \times 6.0 \, \text{kJ/mol} = 12 \, \text{kJ}$.<br />2. Calculate Enthalpy Change for Vaporization<br /> Multiply the enthalpy of vaporization by the number of moles: $2 \, \text{mol} \times 23 \, \text{kJ/mol} = 46 \, \text{kJ}$.<br />3. Sum the Enthalpy Changes<br /> Add the results from Step 1 and Step 2: $12 \, \text{kJ} + 46 \, \text{kJ} = 58 \, \text{kJ}$.
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