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The density of water is 1 g/cm3. brent used the following method to convert 1 g/cm3 to kg/m3.

(1 kg = 1,000 g and 1 m = 100 cm)
what is the error in brent's conversion method?

a - 1 kg should be written as 1 g.
b - (1 m)3 should be written as (1 cm)3.
c - 1,000 kg should be written as 1,000 g.
d - (100 cm)3 should be written as (100 m)3.

User Arfon
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3.2k points

2 Answers

8 votes

Answer:

c - 1,000 kg should be written as 1,000 g.

Step-by-step explanation:

got it correct on the test.

User Skydoor
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3.9k points
5 votes

Answer:

a) The wrong denominator for the equivalent fraction of kilograms to grams

b) The use of the scale factor of length rather than the scale factor of volume for the equivalent fraction of cubic centimeters to cubic meters

c) The arrival at the correct 1000 kg/m³ rather than 0.1 g/m³ based on the expression on the left of the equation

The density of water = 1 g/cm³

The given equation is presented as follows;

1 g/cm³ × 1 kg/(1000 kg) × 100 cm³/(1 m³) = 1000 kg/m³

The error in the conversion method are;

a) The conversion, 1 kg/(1,000 kg) has an error, the correct conversion is (1 kg)/1,000 g)

b) The volume conversion error, 100 cm³/(1 m³), the correct volume conversion is (100 cm)³/(1 m³) = 1,000,000 cm³/(1 m³)

c) The right of the equal to sign error; using the left side expression only, the (wrong) answer is 0.1 g/m³

The correct equation is presented as follows;

1 g/cm³ × 1 kg/(1000 g) × 1,000,000 cm³/(1 m³) = 1000 kg/m³

Explanation: hope this help.

User Arcol
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4.3k points