(a)The final Temperature will be between 0 and 50 degree celsius
(b)The final temperature is 17.7 degree Celsius.
The quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree is known as Specific Heat. Specific heat is represented by calories or joules per gram per Celsius degree.
The specific heat of water is 1 calorie/gram °C = 4.186 joule/gram °C which is higher than any other common substance. As a result, water plays a very important role in temperature regulation.
Specific heat of the water=4.18j/g degree Celsius
Specific heat of iron=0.450j/g degree Celsius
Let the final temperature be t
-mc(Δt)=mcΔt
m- mass
c- specific heat
Δt- change in temperature
-50×0.450×(t-90)=50×4.18×(t-10)
-22.5t+2025=209t-2090
-22.5t-209t=-2090-2025
231.5t=4115
final temperature=4115÷231.
final temperature=17.7degree Celsius
Therefore ,the final temperature is 17.7 degree Celsius.
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