Question #129951
Hi,
When a solution of LiOH is neutralized by nitric acid, the solution gets hot.

Calculate the mass of the combined solution (in g).

Temperature change of the solution = 16.6 K
Heat change of the solution = 4530 J
Specific heat capacity of the solution = 4.18 J/g·K

Please Give your answer to three significant figures. Thanks
1
Expert's answer
2020-08-25T12:20:14-0400

The balanced equation isLiOH +HNO3 LiNO3 +H2OThe\ balanced\ equation\ is\newline LiOH\ +HNO_3\ \to LiNO_3\ +H_2O

In a neutralization reaction when a base or an acid isadded to an aqueous solution ofan acid or a baserespectively the solution temperature increases.In\ a \ neutralization \ reaction\ when \ a \ base \ or \ an \ acid\ is\newline added\ to\ a n\ aqueous\ solution \ of an\ acid\ or\ a \ base\newline respectively\ the \ solution\ temperature\ increases.


The\ following\ formula \ is\ used\ to\ calculated\ produced \newline heat\

q=mcsΔT  where,ΔT is the temperature change =16.6Km =mass of substance in grams =??cs=specific heat =4.18J/gKq=heat produced =4530Jq=mc_s\Delta T\ \ where,\newline \Delta T\ is \ the\ temperature\ change\ =16.6K\newline m\ = mass\ of\ substance\ in \ grams \ =??\newline c_s=specific\ heat\ =4.18J/gK\newline q=heat\ produced\ =4530J


Substituting values to the equation we get,Substituting \ values\ to \ the\ equation\ we\ get,

4530=m  4.18 16.64530=69.388 mm=453069.3884530=m\ *\ 4.18\ *16.6\newline4530=69.388\ m\newline m=\dfrac{4530}{69.388}


m=65.2g\


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