A copper block of mass $2.5\; kg$ is heated in a furnace to a temperature of $500\,^{\circ} C$ and then placed on a large ice block. What is the maximum amount of ice (in $kg$) that can melt? (Specific heat of copper $=0.39\; J g ^{-1} K ^{-1}$ ;heat of fusion of water $=335\; J g ^{-1})$
A copper block of mass $2.5\; kg$ is heated in a furnace to a temperature of $500\,^{\circ} C$ and then placed on a large ice block. What is the maximum amount of ice (in $kg$) that can melt? (Specific heat of copper $=0.39\; J g ^{-1} K ^{-1}$ ;heat of fusion of water $=335\; J g ^{-1})$
Mass of the copper block, $m=2.5 kg =2500 g$
Rise in the temperature of the copper block, $\Delta \theta=500^{\circ} C$
Specific heat of copper, $C=0.39 Jg ^{-1\;\circ} C ^{-1}$
Heat of fusion of water, $L=335 Jg ^{-1}$
The maximum heat the copper block can lose, $Q=m C \Delta \theta$
$=2500 \times 0.39 \times 500$
$=487500 J$
Let $m_{1} g$ be the amount of ice that melts when the copper block is placed on the ice block.
The heat gained by the melted ice, $Q=m_{1} L$ $\therefore m_{1}=\frac{Q}{L}=\frac{487500}{335}=1455.22 g$
Hence, the maximum amount of ice that can melt is $1.45 \,kg$.
Similar Questions
Which of the substances $A, B$ or $C$ has the highest specific heat $?$ The temperature vs time graph is shown
Which of the substances $A, B$ or $C$ has the highest specific heat $?$ The temperature vs time graph is shown
Liquid oxygen at $50\ K$ is heated to $300\ K$ at constant pressure of $1\ atm$. The rate of heating is constant which of the following graphs represents the variation of temperature with time
Liquid oxygen at $50\ K$ is heated to $300\ K$ at constant pressure of $1\ atm$. The rate of heating is constant which of the following graphs represents the variation of temperature with time
- [AIPMT 2012]
A student takes $50\,gm$ wax $($specific heat $= 0.6\, kcal/kg°C)$ and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively
A student takes $50\,gm$ wax $($specific heat $= 0.6\, kcal/kg°C)$ and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively
Explain the process of melting of ice with explanation of freezing, melting and melting point.
Explain the process of melting of ice with explanation of freezing, melting and melting point.
What is isolated system ?
What is isolated system ?