Question

The number of seconds to complete a chemical reaction was determined to be given by the equationS== 250-5T-T² where s is the number of seconds and I is the temperature in degrees Celsius at which thereaction occurred. If a chemical reaction was complete in 200 seconds, what was the temperature at which thereaction occurred?

Answer 1

5°C

Step-by-step explanation:

Answer 2

Answer:

The temperature at which the reaction occurred is T = -10⁰C or 5⁰C

Step-by-step explanation:

The equation representing the number of seconds to complete a chemical reaction is:

`S=250-5T-T^2`

If a chemical reaction was complete in 200 seconds, then S = 200

`\begin{gathered} 200=250-5T-T^2 \\ \\ T^2+5T+200-250=0 \\ \\ T^2+5T-50=0 \end{gathered}`

Solve for T in the quadratic equation above

`\begin{gathered} T^2-5T+10T-50=0 \\ \\ T(T-5)+10(T-5)=0 \\ \\ (T+10)(T-5)=0 \\ \\ T+10=0 \\ T=-10 \\ \\ T-5=0 \\ T=5 \end{gathered}`

Since T = -10 or T = 5, the temperature at which the reaction occurred is T = -10⁰C or 5⁰C