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Water of volume 2 litre in a container i...

Water of volume 2 litre in a container is heated with a coil of `1kW at 27^@C.` The lid of the container is open and energy dissipates at rate of `160J//s.` In how much time temperature will rise from `27^@C to 77^@C` Given specific heat of water is
`[4.2kJ//kg`]

A

`8 min 20 sec`

B

`6 min 2sec`

C

7 min

D

8min

Text Solution

Verified by Experts

The correct Answer is:
A
Mass of water `m = dV = 10^(3) xx 2 xx 10^(-3) = 2kg`
`Pt = ms Delta theta`
`(1000-160)t = 2 xx 4.2 xx 10^(3)(77-27)`
`t = 500 sec = 8 min 20 sec`.
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