MCQ
A solution is $500\, ml$ of $2\, M \,KOH$ is added to $500\, ml$ of $2\, M \,HCl$ and the mixture is well shaken.The rise in temperature $T_1$ is noted. The experiment is then repeated using $250\, ml$ of each solution and rise in temperature $T_2$ is again noted. Assume all heat is taken by the solution
  • $T_1 = T_2$
  • B
    $T_1$ is $2$ times as large as $T_2$
  • C
    $T_2$ is twice of $T_1$
  • D
    $T_1$ is $4$ times as large as $T_2$

Answer

Correct option: A.
$T_1 = T_2$
a
$KOH + HCl \longrightarrow KCl + H _{2} O$

$Q _{ t }=$ Total weight $\times$ Raise in $T$

$Q _{1}=1000 \times T _{1}$

$Q _{2}=500 \times T _{2}$

$Q _{1}=2 Q _{2}$

$1000 T _{1}=2 \times 500 T _{2} \Rightarrow T _{1}= T _{2}$

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