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The initial and final temperatures of wa...

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.

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`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 + Delta theta _(2)) = +- (0.2 + 0.3) = 0.5^(@) C`
Hence , rise in temperature `= ( 37.7 +- 0.5)^(@) C`
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