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Temperature inside of room is 298 K and ...

Temperature inside of room is 298 K and outside it is 283 K. How much heat will leave the room in 10 min through the glass window 2 mt long, 1 mt wide and 0.004 m thick ? (given Thermal conductivity of glass `K = 1 JS^(-1) mt^(-1) K^(-1) `) .

Text Solution

Verified by Experts

Given `theta_1 = 298 k, theta_2 = 283k`
t = 10 min=600s, 1=2m, 6 = 1m
and thickness `d= 4 xx 10^(-3)` m
`K = 1Wm^(-1) K^(-1)`
wkt, quantity of heat conducted during the steady state,
` Q = (KA(theta_1 - theta_2)t)/(d)`
where area of cross-section `A =2m xx 1m = 2m^2`
`Q = (1 xx 2 xx (298 - 283) xx 600)/(4 xx 10^(-3)) J`
` = 300 xx 15 xx 100 `
` Q = 4.5 xx 10^6 J`
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