Glue strength

At 40°C, it takes 3 hrs to get 125% glue strength. How long does it take to get 100% at 50 ˚C? The higher the temperature, the faster it cures the glue.

Correct answer:

t₂ =  1.92 h

Step-by-step explanation:

$$\begin{gathered} T_1=40\text{°C} \\ {t}_1=3\text{h} \\ {p}_1=125\%=\frac{125}{100}=\frac{5}{4}=1.25 \\ {p}_2=100\%=\frac{100}{100}=\frac{1}{1}=1 \\ {T}_2=50\text{°C} \\ \frac{T_1\cdot t_1}{p_1}=const=\frac{T_2\cdot t_2}{p_2} \\ {t}_2=\frac{p_2}{p_1}\cdot \frac{T_1\cdot t_1}{T_2}=\frac{1}{1.25}\cdot \frac{40\cdot 3}{50}=1.92\text{h} \end{gathered}$$

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