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Steam at 100^(@)C is passed into 1 kg of...

Steam at `100^(@)C` is passed into 1 kg of water contained in a calorimeter at `9^(@)C` till the temperature of water and calorimeter is increased to `90^(@)C`. The mass of the steam condensed is nearly
(water equivalent of calorimeter =0.1 kg, specific heat of water `=1" cal g"^(-1)""^(@)C^(-1)` and latent heat of vaporisation `=540" cal g"^(-1)`)

A

81 g

B

162 g

C

243 g

D

486 g

Text Solution

Verified by Experts

The correct Answer is:
B

Let mass of the steam condensed is x. Heat released = Heat gained by water
`rArr x xx 540 +x xx 1xx(100-90)`
`=1xx1xx(90-9)+0.1xx1xx(90-9)`
`rArr 540 x+10x=81+8.1`
`rArr" "x=(891)/(550) =0.162 kg, x=162 g`
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