(C) Given: Mass of metal block,$m = 3.3 \ kg = 3300 \ g$.Temperature change,$\Delta T = 400^{\circ} C$.Specific heat of metal,$s_m = 0.4 \ J \ g^{-1}

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(C) Given: Mass of metal block,$m = 3.3 \ kg = 3300 \ g$.Temperature change,$\Delta T = 400^{\circ} C$.Specific heat of metal,$s_m = 0.4 \ J \ g^{-1} \ K^{-1}$.Latent heat of fusion of ice,$L_f = 330 \ J \ g^{-1}$.The heat released by the metal block is $Q = m \cdot s_m \cdot \Delta T$.$Q = 3300 \ g \times 0.4 \ J \ g^{-1} \ K^{-1} \times 400 \ K = 528,000 \ J$.Let $m'$ be the mass of ice melted. The heat required to melt the ice is $Q = m' \cdot L_f$.$m' = \frac{Q}{L_f} = \frac{528,000 \ J}{330 \ J \ g^{-1}} = 1600 \ g$.Therefore,$m' = 1.6 \ kg$.

Class 11 Physics 10-1.Thermometry, Thermal Expansion and Calorimetry Principle of Calorimetry and Water Equivalent

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$A$ metal block of mass $3.3 \ kg$ is heated to a temperature of $400^{\circ} C$ and then placed on a large ice block. The specific heat of the metal is $0.4 \ J \ g^{-1} \ K^{-1}$ and the latent heat of fusion of water is $330 \ J \ g^{-1}$. The maximum amount of ice that can melt is: (in $kg$)

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$1.2$
B
$2.2$
C
$1.6$
D
$2$

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Principle of Calorimetry and Water Equivalent

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$A$ metal block of mass $3.3 \ kg$ is heated to a temperature of $400^{\circ} C$ and then placed on a large ice block. The specific heat of the metal is $0.4 \ J \ g^{-1} \ K^{-1}$ and the latent heat of fusion of water is $330 \ J \ g^{-1}$. The maximum amount of ice that can melt is: (in $kg$)

Similar Questions

An electric kettle (rated at $2.5\, kW$) is used to heat $3\, kg$ of water from $15\, ^oC$ to its boiling point. It takes $9.5$ minutes. The amount of heat lost is:

$150 \,g$ of ice is mixed with $100 \,g$ of water at temperature $80^{\circ} C$. The latent heat of ice is $80 \,cal/g$ and the specific heat of water is $1 \,cal/g^{\circ} C$. Assuming no heat loss to the environment,the amount of ice which does not melt is ........... $g$.

$80 \ gm$ of water at $30 \ ^\circ C$ is poured onto a large block of ice at $0 \ ^\circ C$. The mass of ice that melts is .... $gm$

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