A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of 600 K penetrates into the block and melts down. If the total heat required for the process is 625 J, then the mass of the bullet is ______ grams.

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Solution

Q.
A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of 600 K penetrates into the block and melts down. If the total heat required for the process is 625 J, then the mass of the bullet is ______ grams.

(Latent heat of fusion of lead $= 25 \times 10^{4} J {Kg}^{- 1}$ and specific heat capacity of lead $= 125 J {Kg}^{- 1} K^{- 1}$ ) [2025]

1 20

2 15

3 10

4 5

Ans.
(3)

$Q = m s △ T + m L$

$625 = m \times 125 \times 300 + m \times 2.5 \times 10^{4}$

$625 = m {3.75 + 2.5} \times 10^{4}$

$\Rightarrow m = \frac{625}{625} \times 10^{- 4} kg = 10 g$

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