Charles’s Law Name__________________________ Period______Date________________ Volume-Temperature Data for a Gas Sample (at Constant Mass & Pressure) In the 1780’s Jacques Charles took volume readings of gases at various temperatures above freezing. He could not reach temperatures below freezing and “extrapolated” his data to a theoretical “zero point volume”. Temperature (◦C) Volume (mL) 100 746 52 650 27 600 10 566 1 548 0 546 Temperature (K) V/T or k (slope) Directions: Complete the Temperature column in the table and answer the following questions. 1. Graph the volume versus Kelvin temperature. Extrapolate the graph with a dashed line to where it crosses the x-axis. 2. Based on the graph, what relationship exists between volume and temperature (direct or inverse)? 3. What characteristic of your graph leads you to this conclusion? ______________________________ 4. What is the value of the temperature at the point where the line crosses the x-axis? ___________ 5. What is the value of the volume where the line crosses the y-axis? ___________ 6. What is the significance of the temperature answer given in question 4? ________________________ 7. What happens to the motion of the gas particles at this point? ________________________________ 8. From the graph, choose two convenient temperature points (TA and TB). Find the volumes that correspond to TA and TB from the graph. Draw a dashed line across and down from the graph to each axis to determine these points. If V varies directly with T, then V = kT (or y = mx + b). Solving for k (or the slope), we find k = V/T. Using the points selected, calculate the k values by slope = y2 – y1. Show your work on the graph itself. x2 – x V1 V2 V V = because 1 = k & 2 = k T1 T2 T1 T2 900 Charles’ Law: The effect of _______________ on the ____________ of a gas. 800 700 Volume (mL) 600 500 400 300 200 Conclusion: As temperature _______________, volume _______________ 100 0 0 100 200 Temp (K) 300 400 500