Scientific notation is a way to present numbers that are too large or too small to be easily written in decimal form. The three components of scientific notation are coefficient, base and exponent. The proper format to write a scientific notation is a x 10^b, where a is a number or decimal number and b is the power of 10 to make scientific notation equivalent to original number. When a number between 1 and 10 is multiplied by a power of 10 then the number is expressed in scientific notation. For example, 10000000 can be written as 10⁷, which is the scientific notation and the exponent is positive here. Similarly, for the negative exponent 0.000001 can be can be represented as 10-⁷. Hence, the scientific notation is used to express very large or very small numbers.

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4 0

1 year ago

Heptane and water do not mix, and heptane has a lower density (0.684 g/mL) than water (1.00 g/mL). A 100-mL graduated cylinder w

kicyunya [14]

Answer:

$h=100.8cm$

Explanation:

Hello,

In this case, considering the density and mass of both water and heptane we first compute the volume of each one:

$V_{water}=\frac{m_{water}}{\rho _{water}}=\frac{34g}{1.00g/mL}=34mL\\ \\V_{heptane}=\frac{m_{heptane}}{\rho _{heptane}}=\frac{34.6g}{0.684g/mL}=50.6mL\\$

Now, the total volume is:

$V=50.6mL+34mL=84.6mL$

Which is equal to:

$V=84.6cm^3$

Then, by knowing that the volume of a cylinder is πr²h or π(D/2)²h, we solve for the height as follows:

$h=\frac{V}{\pi (D/2)^2} \\\\h=\frac{84.6cm^3}{\pi (3.16cm/2)^2} \\\\h=100.8cm$

Best regards.

3 0

3 years ago