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An isothermal jacketed continous stirred tank reactor (CSTR) operating at $150^{\circ} \mathrm{C}$ is shown in the figure below. The cold feed entering the system at $30^{\circ} \mathrm{C}$ is preheated to a temperature $T\left(T<150^{\circ} \mathrm{C}\right)$ using a heat exchanger $H X_1$. This preheated feed is further heated to $150^{\circ} \mathrm{C}$ using the utility heater $H X_2$. The mass flow rate and heat capacity are same for all the process streams, and the overall heat transfer coefficient is independent of temperature. Which one of the following statements is the $\text{CORRECT}$ action to take if it is desired to increase the value of $T$?

  1. Increase both heat transfer area of $H X_1$ and heat duty of $H X_2$.
  2. Decrease both heat transfer area of $H X_1$ and heat duty of $H X_2$.
  3. Increase the heat transfer area of $H X_1$ and decrease the heat duty of $H X_2$.
  4. Decrease the heat transfer area of $H X_1$ and increase the heat duty of $H X_2$.
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