Question

The initial and final temperatures of a liquid are measured to be $67.7+{0.2}^{0}C$ and $76.3+{0.3}^{0}C$.
Calculate the rise in temperature with error limits.

• A. $8.6\pm {0.5}^{0}C$
• B. $9\pm {0.5}^{0}C$
• C. $16\pm {0.5}^{0}C$
• D. $2.6\pm {0.5}^{0}C$

Answer 1

The correct option is A $8.6\pm {0.5}^{0}C$

We know that If $x=a-b$

$x\pm \Delta x=(a\pm \Delta a)-(b\pm \Delta b)$

$\Rightarrow \pm \Delta x=\pm (\Delta a+\Delta b)$

$\therefore$ $(76.3\pm 0.3)-(67.7\pm 0.2)$

$={(8.6\pm 0.5)}^{0}C$