Alarge container is separated into two halves by al= 2.0 cm thick glass divider. the area of the divider is= 0.25 m2and the thermal conductivity of glass isk= 0.90 w/m·k. each side is filled withm= 30 kg of water, specific heatc= 4180 j/kg·k, at different temperatures. initially, the temperature difference is ∆t0= 20 k. how long will it take before the temperature difference is ∆t= 1.0 k

4.6 hr

Explanation:

Given

area of divider is 0.25 m^2

conductivity of glass k=0.9 W/m.K

mass of water =30 kg

specific heat c=4180 J/kg.K

initial temperature difference

Final temperature difference

Let Temperature difference be T so change in temperature difference is given by dT in time dt

rate of heat flow is

----1

Also heat transferred by water

----2

equating 1 & 2

integrating for T=20 to T=1 for time t

t=16696.2 s

t=4.6 hr

answer: option c.

explanation: