Heat and Thermodynamics 1 Question 15

15. A block of ice at $-10^{\circ} C$ is slowly heated and converted to steam at $100^{\circ} C$. Which of the following curves represents the phenomena qualitatively?

$(2000,2 M)$ (a)

(c)

(b)

(d)

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Solution:

  1. The temperature of ice will first increase from $-10^{\circ} C$ to $0^{\circ} C$. Heat supplied in this process will be

$$ \begin{aligned} & Q _1=m s _i(10) \\ & \text { where, } \quad m=\text { mass of ice } \\ & s _i=\text { specific heat of ice } \end{aligned} $$

Then, ice starts melting. Temperature during melting will remain constant $\left(0^{\circ} C\right)$.

Heat supplied in this process will be

$Q _2=m L, L=$ latent heat of melting.

Now, the temperature of water will increase from $0^{\circ} C$ to $100^{\circ} C$. Heat supplied will be

$$ Q _3=m s _w(100) $$

where, $\quad s _w=$ Specific heat of water.

Finally, water at $100^{\circ} C$ will be converted into steam at $100^{\circ} C$ and during this process temperature again remains constant. Temperature versus heat supplied graph will be as shown in above figure.



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