Problem 163
The mass of an average neon atom is \(20.2\) atomic mass units (amu), where 1 amu \(=1.66 \times 10^{-24} \mathrm{~g}\). (a) What is the mass in atomic mass units of 20 neon atoms? (b) What is the mass in grams of 20 neon atoms? (c) What is the mass in grams of \(6.022 \times 10^{23}\) neon atoms?
Problem 167
Indicate the number of significant figures in: (a) \(0.503200 \mathrm{~mL}\) (b) \(2000 \pm 5\) (c) \(2000 \pm 50\) (d) \(2000 \pm 0.5\) (e) \(200.1\)
Problem 169
True or false? If any statement is false, rewrite it to make it true. (a) When multiplying or dividing a series of measured values, the number of significant figures in the answer is determined by the measured value having the fewest significant figures. (b) When adding or subtracting a series of measured values, the number of significant figures in the answer is determined by the measured value having the fewest significant figures.
Problem 172
Describe how the uncertainty in a measured value is determined.
Problem 173
Write each number in scientific notation, taking all trailing zeros to be nonsignificant: (a) 502,000 (b) \(0.000038402\) (c) \(436,000,000\) (d) 8470 (e) \(0.00591\) (f) \(0.658\)
Problem 177
Indicate the number of significant zeros in each value: (a) \(2.300\) (b) \(2.3003\) (c) \(0.0023\) (d) 2300 (e) \(23.000\)
Problem 180
Which is larger, a Kelvin or a Celsius degree? Explain.
Problem 187
Use a scientific calculator to do the following calculations. Express each answer in scientific notation and to the correct number of significant figures. (a) \(9.865 \times 10^{3}+8.61 \times 10^{2}\) (b) \(\frac{\left(6.626 \times 10^{23}\right) \times\left(3.00 \times 10^{8}\right)}{4.5 \times 10^{-7}}\) (c) \(\frac{5.6200 \times 10^{-9}}{3.821 \times 10^{9}}\) (d) \(\frac{4.5600 \times 10^{3}-2.91 \times 10^{1}}{5}\), where the 5 is an exact number
Problem 189
Write two conversion factors that express the relationship between: (a) Grams and kilograms, using 1 and 1000 (b) Kilograms and grams, using 1 and \(0.001\) (c) Yards and feet (d) Meters and centimeters, using 1 and 100 (e) Meters and centimeters, using 1 and \(0.01\)
Problem 193
Indicate the correct number of significant figures for each answer, given that all values are measurements: (a) \(\left(6.350 \times 10^{-8}\right) \times(0.0080)\) (b) \(\left(5.30 \times 10^{2}\right)+\left(22.1 \times 10^{2}\right)\) (c) \(\left(5.830 \times 10^{2}\right)+\left(22.100 \times 10^{2}\right)\) (d) \(\frac{100.0 \times 0.1500}{58.443}\) (e) \(\frac{100.0 \times 0.15}{58.4}\)