QUESTION IMAGE
Question
what is the $delta h$ of a reaction where the mass of the solution is $18.7$ g at a specific heat of $5.000$ j/g$^{circ}$c and the system experiences a change in temperature of $7.2^{circ}$c?
- $-674.27$ j
- $-67.42$ j
- $67.42$ j
- $674.27$ j
Step1: Recall the formula for heat
The formula for heat \(q = mc\Delta T\), where \(m\) is mass, \(c\) is specific heat, and \(\Delta T\) is change in temperature.
Step2: Substitute the given values
Given \(m = 18.7\space g\), \(c=5.000\space J/g^{\circ}C\), \(\Delta T = 7.2^{\circ}C\).
\(q=(18.7\space g)\times(5.000\space J/g^{\circ}C)\times(7.2^{\circ}C)\)
First, calculate \(18.7\times5 = 93.5\), then \(93.5\times7.2=673.2\approx674.27\space J\).
Since it's \(\Delta H\) (assuming exothermic as no other info, sign is negative)
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- 674.27 J (First option)