The initial and final temperatures of water as recorded by an observer are `( 40.6 +- 0.2)^(@) C and ( 78.9 +- 0.3 )^(@) C`. Calculate the rise in temperature with proper error limits.

Explanation

`theta_(1)+(40.6+-0.2)^(@)C,theta_(2)=(78.3+-0.3)^(@)C`
Rise in temperature `theta=theta_(2)-theta_(1)=78.3-40.6=37.7^(@)C`
`Delta theta=+-(Delta theta_(1)+Delta theta_(1))=+-(0.2+0.3)=0.5^(@)C`
Hence rise in temperatue `=(37.7+-0.5)^(@)C`