using tangents to determine rate

• How can the slope of the tangent be used in the context of a rate of reaction graph?

  It measures the rate of reaction at a specific point
• What does the slope of the graph represent in a rate of reaction?

  It gives an idea of the rate of the reaction
• What happens to the rate of reaction as time progresses according to the graph?

  The reaction starts fast, slows down, and eventually stops
• Why is it difficult to determine the rate of reaction at a specific point on the curve?

  Because the slope of the curve is constantly changing
• How do scientists measure the rate of reaction at a specific point on the curve?

  By drawing a tangent that touches the curve at that point
• What is the name of the straight line that touches the curve at a specific point?

  A tangent
• What does a steeper slope of the tangent indicate about the reaction?

  The reaction is faster at that point
• How can you calculate the rate of reaction using the tangent at 30 seconds?

  By dividing the vertical side by the horizontal side of the triangle formed
• What are the values of the vertical and horizontal sides of the triangle at 30 seconds?

  14 grams for the vertical side and 25 seconds for the horizontal side
• What is the calculated rate of reaction at 30 seconds?

  $0.56 \text{ grams per second}$
• What are the key steps to measure the rate of reaction using a tangent?

  • Draw a tangent at the point of interest on the curve
  • Construct a triangle using the tangent
  • Measure the lengths of the vertical and horizontal sides
  • Calculate the rate of reaction by dividing the vertical side by the horizontal side
• What are the characteristics of the rate of reaction graph?

  • Initially fast reaction
  • Rate slows down over time
  • Reaction eventually stops
• How does the slope of the tangent relate to the rate of reaction at different points?

  • Steeper slope indicates a faster reaction
  • Shallower slope indicates a slower reaction
  • Slope changes as the reaction progresses