A bowl filled with very hot soup cools from $98°\mathrm{C}$ to $86^{\circ} \mathrm{C}$ in 2 minutes when the room temperature is $22^{\circ} \mathrm{C}$. How long it will take to cool from $75^{\circ} \mathrm{C}$ to $69^{\circ} \mathrm{C}$ ?

The graph between two temperature scales $P$ and $Q$ is shown in the figure. Between upper fixed point and lower fixed point there are $150$ equal divisions of scale $P$ and $100$ divisions on scale $Q$. The relationship for conversion between the two scales is given by :

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Heat energy of $184 \mathrm{kJ}$ is given to ice of mass $600 \mathrm{g}$ at $-12 °\mathrm{C}$, Specific heat of ice is $2222.3 \mathrm{J} {\mathrm{kg}}^{–1} °{\mathrm{C}}^{–1}$, and the latent heat of ice is $336 \mathrm{kJ} {\mathrm{kg}}^{–1}$. Consider the statements below.

(A) Final temperature of the system will be $0 °\mathrm{C}$

(B) Final temperature of the system will be greater than $0 °\mathrm{C}$

(C) The final system will have a mixture of ice and water in the ratio of  $5 : 1$

(D) The final system will have a mixture of ice and water in the ratio of  $1 : 5$

(E) The final system will have water only

Choose the correct answer from the options given below :