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Standard X

Physics

Calorimeter

A copper ball...

Question

A copper ball of mass $100 g m$ is at a temperature $T$ . It is dropped in a copper calorimeter of mass $100 g m$ , filled with $170 g m$ of water at room temperature. Subsequently, the temperature of the system is found to be $75^{o} C$ . $T$ is given by :

825^{o} C

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800^{o} C

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885^{o} C

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1250^{o} C

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Solution

The correct option is C $885^{o} C$
Heat given $=$ Heat taken
$(100) (0.1)) (T - 75)) = (100)) (0.1)) (45)) + (170)) (1)) (45))$
$10 (T - 75)) = 450 + 7650 = 8100$
$T - 75 = 810$
$T = 885^{\circ}$ C

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Similar questions

Q. A copper ball of mass

100 g m

is at a temperature

T

. It is dropped in a copper calorimeter of mass

100 g m

, filled with

170 g m

of water at room temperature. Subsequently, the temperature of the system is found to be

75^{o} C

T

is given by :
(Given : room temperature

= 30^{o} C

, specific heat of copper

= 0.1 c a l / g m^{o} C

)

Q. A copper ball of mass

100 g m

is at a temperature

T

. It is dropped in a copper calorimeter of mass

100 g m

, filled with

170 g m

of water at room temperature. Subsequently, the temperature of the system is found to be

75^{o} C

T

is equal to
(Given : Room temperature

= 30^{o} C

, specific heat of copper

= 0.1 c a l / g m^{o} C

)

Q. A copper ball of mass

100 g m

is at a temperature

T

. It is dropped in a copper calorimeter of mass

100 g m

, filled with

170 g m

of water at room temperature. Subsequently, the temperature of the system is found to be

75^{o} C

T

is equal to
(Given : Room temperature

= 30^{o} C

, specific heat of copper

= 0.1 c a l / g m^{o} C

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Q. Water of mass

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is contained in a copper calorimeter of mass

m_{1} = 1 k g

. Their common temperature is

t = 10^{o} C

. Now a piece of ice of mass

m_{3} = 2 k g

and temperature

- 11^{o} C

is dropped into the calorimeter. Neglecting any heat loss, the final temperature of the system is [specific heat of copper

0.1 K c a l / k g^{o} C

, specific heat of water

= 1 K c a l / k g^{o} C

, specific heat of ice

= 0.5 K c a l / k g^{o} C

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= 78.7 K c a l / k g

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Q. An aluminium sphere of mass

0.047 k g

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. It is dropped in a copper calorimeter of mass

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, containing

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. The temperature of water rises to a steady state at

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. Calculate the specific heat of aluminium. specific heat of water

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A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be 75oC. T is given by :

The correct option is C 885oCHeat given = Heat taken(100)(0.1))(T–75))=(100))(0.1))(45))+(170))(1))(45))10(T−75))=450+7650=8100T−75=810T=885∘C

A copper ball of mass $100 g m$ is at a temperature $T$ . It is dropped in a copper calorimeter of mass $100 g m$ , filled with $170 g m$ of water at room temperature. Subsequently, the temperature of the system is found to be $75^{o} C$ . $T$ is given by :

The correct option is C $885^{o} C$
Heat given $=$ Heat taken
$(100) (0.1)) (T - 75)) = (100)) (0.1)) (45)) + (170)) (1)) (45))$
$10 (T - 75)) = 450 + 7650 = 8100$
$T - 75 = 810$
$T = 885^{\circ}$ C