How many cm3 are there in 2.5 m3? A) 2.5 x 106 B) 2.5 x 10-2 C) 2.5 x 102 D) 2.5 × 10-6 e distance from New York City to Washington, DC is approximately 235 miles. 9) Th Identify the correct solution map to convert from miles to kilometers using the prefi:x cm. A) 235 mile X 5280 mile 1ft multipliers and the given conversion factors: 1 mile 5280 ft, 1 ft 12 in, 1 in 2.54 A) 235 mile xft x 12in x lin 10-2 cm 1 km B) 235 mile x mie1 ft 10- c) 235 mile x 1 mile ,254cm x 1012cm 2.54 cm 10m m 103 m B) 235 mile x 5280ft x 1ft x2.54 in 1m 103 km 1 mile 12in 1 ft 10-2 cm 1m 12in-x-1 in C) 235 mile x 5280ft x 12in x 2.54 cm 10-2 m 1 km 1 mile 1ft 1in 1 cm 103 m 10-2 cm 1m 1 km 103 m D)235 mile x 11in 254cm io-m 1 ft 2.54 cm E) 235 mile x 12m x 254 cm x 103 km 1 ft 10-2 cm 1m Metals expand to a larger volume when heated. If a piece of metal was heated, which 10) M one of the following statements would be TRUE? A) The newly calculated density value of the metal would not change from the initial value B) The newly calculated density value would decrease. C) The newly calculated density value would increase D) The mass of the metal would also increase. 11) Which of the following items is a chemical property? A) the paint color on a new red Corvette B) the odor of spearmint gum C) the melting and boiling point of water D) the tarnishing of a copper statue 12) Which of the following statements about matter is FALSE? A) Matter occupies space and has mass. B) Matter exists in either a solid, liquid or gas state. C) Matter is ultimately composed of atoms D) Matter is smooth and continuous ?
The Correct Answer and Explanation is :
Let’s break down the questions one by one.
1. Conversion from cubic meters to cubic centimeters:
You need to convert 2.5 m³ to cm³.
- 1 meter (m) = 100 centimeters (cm), and since we are working with volume, we cube the conversion factor:
[
1 \, m^3 = (100 \, cm)^3 = 1,000,000 \, cm^3
] - Therefore, to convert 2.5 m³ to cm³:
[
2.5 \, m^3 = 2.5 \times 1,000,000 \, cm^3 = 2.5 \times 10^6 \, cm^3
]
So, the correct answer is A) 2.5 x 10^6.
2. Conversion from miles to kilometers using various units:
We are given that the distance from New York City to Washington, DC is 235 miles, and we need to convert miles to kilometers using the appropriate unit conversions.
- The correct conversion factor from miles to kilometers is:
[
1 \, \text{mile} = 1.60934 \, \text{km}
]
However, none of the provided options in the problem use this factor directly. But let’s attempt to identify the right approach among the choices. - Answer options analysis:
The correct solution involves converting miles to feet, then to inches, and eventually to centimeters, before applying the appropriate conversion factors to meters and kilometers. The most coherent map of conversions is found in Option C because it applies appropriate unit conversions for distance. But the problem contains numerous conversion factors, which are not all accurate for the distance conversion directly.
3. Density and expansion of metals:
When a metal is heated, its volume expands due to the increased kinetic energy of the atoms, which causes them to move apart. This results in an increase in volume. Since density is defined as mass/volume, and the mass stays constant while the volume increases, the density will decrease.
- Correct answer: B) The newly calculated density value would decrease.
Explanation:
- Heating a metal causes its atoms to spread out, which increases its volume.
- Since mass remains constant, the volume increase leads to a lower density value. This is because density is inversely proportional to volume when mass is held constant.
4. Chemical properties of materials:
A chemical property is a characteristic of a substance that becomes evident during a chemical reaction or changes in chemical composition.
- Correct answer: D) the tarnishing of a copper statue
Explanation:
- The tarnishing of copper involves a chemical change, where the copper reacts with substances (like oxygen) in the environment to form a new compound (copper oxide or copper carbonate).
- The other options describe physical properties (e.g., color, odor, melting/boiling points), which do not involve a chemical reaction.
5. False statement about matter:
- Correct answer: D) Matter is smooth and continuous
Explanation:
- Matter is not smooth and continuous at the atomic or molecular level. It is composed of discrete atoms and molecules. The statement “Matter is smooth and continuous” is false because it implies a uniform and uninterrupted structure, which doesn’t hold at microscopic scales. Matter has a discrete, particulate nature, as demonstrated by atomic theory.
Summary:
- 1: A) 2.5 x 10^6
- 2: C) Correct mapping of unit conversions (although the exact kilometers conversion is missing)
- 3: B) The newly calculated density value would decrease.
- 4: D) The tarnishing of a copper statue.
- 5: D) Matter is smooth and continuous.