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Standard XI
Physics
Calorimetry
Question

A $$ 200g $$ aluminium calorimeter contains $$ 500 \,g $$ of water at $$ 20^{\circ}C . $$ An aluminium shot of mass $$ 300\,g $$ is heated to $$ 100^{\circ}C $$ and is then placed in the calorimeter . (a) Using the value of the specific heat of aluminium given in table find the final temperature of the system , assuming that no heat is lost to the surroundings . (b) The error due to heat transfer between the system and its surroundings can be minimized if the initial temperature of the water and calorimeter is chosen to be $$ \Delta t_{w} $$ below room temperature , where $$ \Delta t_{w} $$ is the temperature change of the calorimeter and water during the measurement . Then the final temperature is $$ \Delta t_{w} $$ above room temperature . What should be the initial temperature of the water and container if the room temperature is $$ 20^{\circ} C ?$$

A
$$ (a) \,28.6^{\circ}C , (b) \, 15.5^{\circ}C $$
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Solution
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Correct option is A. $$ (a) \,28.6^{\circ}C , (b) \, 15.5^{\circ}C $$

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A $$ 200g $$ aluminium calorimeter contains $$ 500 \,g $$ of water at $$ 20^{\circ}C . $$ An aluminium shot of mass $$ 300\,g $$ is heated to $$ 100^{\circ}C $$ and is then placed in the calorimeter . (a) Using the value of the specific heat of aluminium given in table find the final temperature of the system , assuming that no heat is lost to the surroundings . (b) The error due to heat transfer between the system and its surroundings can be minimized if the initial temperature of the water and calorimeter is chosen to be $$ \Delta t_{w} $$ below room temperature , where $$ \Delta t_{w} $$ is the temperature change of the calorimeter and water during the measurement . Then the final temperature is $$ \Delta t_{w} $$ above room temperature . What should be the initial temperature of the water and container if the room temperature is $$ 20^{\circ} C ?$$
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