# Chapter 1 Lecture Problems

## Density

- At an altitude of 40 km the density of air is 4.3 gm/m
^{3}. What
is the mass of 537 m^{3} of air at this altitude.
- At an altitude of 10 km the same mass of air from above has a volume of
only 5.433 m
^{3}. What is the density of this air?

Solutions

## Conversions

- The temperature of liquid nitrogen, LN2, is -195 °C. Convert this to Kelvin and °F
- Normal body temperature is 98 °F. Convert this temperature to °C and Kelvin.
- Convert 15.4 cm into inches, given that 1 inch is defined as 2.54 cm.
- Convert 3.46x10
^{4} cm into miles given the following conversion factors. 2.54 cm = 1 in; 1 ft = 12 in; 1 yd = 3 ft; 1 mi = 1760 yd.
- Convert 55 miles per hour into meters per second.

Solutions

## Significant Digits

- Place two sticks end to end. The length of the first stick is measured with a meter stick as 59.3 cm. The second stick is measured with a micrometer as 5.4895 cm. What is the total length?
- Change length of second stick to 5.1594 cm. What is the total length?
- Measure the length of the first stick with a better ruler, as 59.394 cm. What is the total length of the two sticks?
- You are given a rectangular piece of metal. Using different devices you measure the following dimensions: Length 25.125 inches, Width 5.3 cm, Thickness 1.3458 mm. What is the volume of this piece?
- Problem Solving. While driving across South Dakota, I looked down at the odometer in my truck and started a stop watch at the same time. The odometer read: 129356.4. Some time later I stopped the watch and looked at the odometer again. The odometer read: 129469.3 and the stopwatch read 94 min, 15.24 sec. What was my speed in miles per hour, kilometers per hour and meters per second?

Solutions

- Marathon Problem from Zumdahl

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