SATHEE: Heat and Thermodynamics 1 Question 9

Heat and Thermodynamics 1 Question 9

9. A copper ball of mass $100 g$ is at a temperature $T$ . It is dropped in a copper calorimeter of mass $100 g$ , filled with $170 g$ of water at room temperature. Subsequently, the temperature of the system is found to be $75^{\circ} C$ . T is (Given, room temperature $= 30^{\circ} C$ , specific heat of copper $= 0.1 c a l / g^{\circ} C$ )

(2017 Main)

(a) $885^{\circ} C$

(b) $1250^{\circ} C$

(c) $825^{\circ} C$

(d) $800^{\circ} C$

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Solution:

Heat gained (water + calorimeter) $=$ Heat lost by copper ball

$\Rightarrow m_{w} s_{w} Δ T + m_{c} s_{c} Δ T = m_{B} s_{B} Δ T$

$\Rightarrow 170 \times 1 \times 45 + 100 \times 0.1 \times 45$ $= 100 \times 0.1 \times (T - 75)$

$∴ T = 885^{\circ} C$

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Heat and Thermodynamics 1 Question 9

9. A copper ball of mass 100g is at a temperature T. It is dropped in a copper calorimeter of mass 100g, filled with 170g of water at room temperature. Subsequently, the temperature of the system is found to be 75∘C. T is (Given, room temperature =30∘C, specific heat of copper =0.1cal/g∘C )

Solution:

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