A $10 k g$ storage battery has an average specific heat of $0.2 k c a l / k g^{\circ} C$ . When fully charged, the energy content of the battery is $1 k c a l$ . If the entire energy were used to raise the temperature of the battery, then the temperature would increase by :

{0.2}^{\circ} C

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{0.5}^{\circ} C

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200^{\circ} C

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20^{\circ} C

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Solution

The correct option is B ${0.5}^{\circ} C$
The correct answer is option(B).
Given:
mass, $m = 10 k g$ , Specific heat, $C = 0.2 k c a l k g^{- 1} ° C^{- 1}$ , energy content, $Q = 1 k c a l$
We know,
$Q = m C Δ T ⟹ Δ T = \frac{Q}{m C} = \frac{1}{10 \times 0.2} = 0.5 ° C$
is the required temperature rise.

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A 10kg storage battery has an average specific heat of 0.2kcal/kg∘C. When fully charged, the energy content of the battery is 1kcal. If the entire energy were used to raise the temperature of the battery, then the temperature would increase by :

The correct option is B 0.5∘CThe correct answer is option(B).Given:mass, m=10kg, Specific heat, C=0.2kcalkg−1°C−1, energy content, Q=1kcalWe know,Q=mCΔT⟹ΔT=QmC=110×0.2=0.5°Cis the required temperature rise.

A $10 k g$ storage battery has an average specific heat of $0.2 k c a l / k g^{\circ} C$ . When fully charged, the energy content of the battery is $1 k c a l$ . If the entire energy were used to raise the temperature of the battery, then the temperature would increase by :