An ice cube of dimensions 60cm × 50cm × 20cm is placed in an insulation box of wall thickness 1cm. The box keeping the ice cube at $0°C$ 898

of temperature is brought to a room of temperature $40°C.$ The rate of melting of ice is approximately:

(Latent heat of fusion of ice is 3.4 × 105 J kg1 and thermal conducting of insulation wall is 0.05 $W{m}^{-1}°C^{-1}$ )

<p><math><mrow><mi>A</mi><mi>r</mi><mi>e</mi><mi>a</mi><mo>=</mo><mn>2</mn><mo>×</mo><mrow><mo> [</mo><mrow><mi mathvariant="script">l</mi><mi>b</mi><mo>+</mo><mi>b</mi><mi>h</mi><mo>+</mo><mi>h</mi><mi mathvariant="script">l</mi></mrow><mo>]</mo></mrow></mrow></math></p><p><math><mrow><mo>⇒</mo><mi>A</mi><mo>=</mo><mn>2</mn><mo>×</mo><mrow><mo> [</mo><mrow><mn>0</mn><mo>.</mo><mn>6</mn><mo>×</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>×</mo><mn>0</mn><mo>.</mo><mn>2</mn><mo>+</mo><mn>0</mn><mo>.</mo><mn>2</mn><mo>×</mo><mn>0</mn><mo>.</mo><mn>6</mn></mrow><mo>]</mo></mrow></mrow></math></p><p>= 1.04 M2</p><p><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>t</mi><mi>h</mi><mi>e</mi><mi>r</mi><mi>m</mi><mi>a</mi><mi>l</mi></mrow></msub><mo>=</mo><mfrac><mrow><mi>t</mi></mrow><mrow><mi>K</mi><mi>A</mi></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>1</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow><mrow><mn>0</mn><mo>.</mo><mn>0</mn><mn>5</mn><mo>×</mo><mn>1</mn><mo>.</mo><mn>0</mn><mn>4</mn></mrow></mfrac></mrow></math></p><p><math><mrow><mo>⇒</mo><mi>m</mi><mo>=</mo><mn>6</mn><mn>1</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>5</mn></mrow></msup><mi>k</mi><mi>g</mi><mo>/</mo><mi>s</mi></mrow></math></p><p>&nbsp;</p>

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