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Q.

The volume of iron which will have the same thermal capacity as 1200 c.c of water is
(specific heat of iron = $0 .1 cal/g/ ° C$ , density of iron = $7 .5 {g/cm}^{3}$ )

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a

100 c.c

b

500 c.c

c

1600 c.c

d

2000 c.c

answer is C.

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Detailed Solution

V_{w} = 1200 {cm}^{3} {,V}_{i} = ?, S_{i} = 0.1 {cal/g°C,d}_{i} = 7.5 {g/cm}^{3}

Heat capacity = ms = dvs

Heat capacity of iron = Heat capacity of water

$\Rightarrow d_{i} V_{i} S_{i} = d_{w} V_{w} S_{w}$

$∴ V_{i} = \frac{d_{w} V_{w} S_{w}}{d_{i} S_{i}}$

$= \frac{1 \times 1200 \times 1}{7.5 \times 0.1} = 1600 {cm}^{3}$

$∴ V_{i} = 1600 {cm}^{3}$

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The volume of iron which will have the same thermal capacity as 1200 c.c of water is (specific heat of iron =0.1 cal/g/°C , density of iron =7.5 g/cm3 )