24. a student measured the volume of a liquid to be 215.5 ml. the correct value of the volume is 205.5 ml…

24. a student measured the volume of a liquid to be 215.5 ml. the correct value of the volume is 205.5 ml. what is the student’s percent error?\n% error = \\(\\frac{v_e - v_a}{v_a}\\times100\\)\n% error = \\(\\frac{\\text{ml}-\\text{ml}}{\\text{ml}}\\times100\\)\n% error = \n25. a student calculated the density of aluminum to be 2.95 g/cm³. the actual density of aluminum is 2.70 g/cm³. what is the student’s percent error?\n% error = \\(\\frac{v_e - v_a}{v_a}\\times100\\)\n% error = \\(\\frac{\\text{g/cm³}-\\text{g/cm³}}{\\text{g/cm³}}\\times100\\)\n% error =
Answer
Explanation:
Step1: Identify values for problem 24
$V_E = 215.5$ mL, $V_A=205.5$ mL
Step2: Substitute values into percent - error formula
$% error=\frac{215.5 - 205.5}{205.5}\times100=\frac{10}{205.5}\times100$
Step3: Calculate the result
$% error\approx4.87%$
Step4: Identify values for problem 25
$V_E = 2.95$ g/cm³, $V_A = 2.70$ g/cm³
Step5: Substitute values into percent - error formula
$% error=\frac{2.95 - 2.70}{2.70}\times100=\frac{0.25}{2.70}\times100$
Step6: Calculate the result
$% error\approx9.26%$
Answer:
- Approximately $4.87%$
- Approximately $9.26%$