Question

4. A cylindrical tube has a length of 14.4cm and a radius of 1.5cm and is filled with a colorless gas. If the density of the gas is known to be 0.00123g/cm', what is the mass of the gas in the tube in mg?​

Answer 1

Answer:

Mass, m of gas is 0.2504 grams.

Explanation:

First, we need to solve for the volume of the cylindrical tube.

Volume of cylinder is given by the formula;

$V = 2\Pi r^{2}h$

Where, V represents volume.

π represents pie

r represents radius.

h represents height or length.

Given the following data;

Radius, r = 1.5cm

Length, h = 14.4cm

Density, d = 0.00123g/cm³

Substituting into the equation;

$V = 2 * 3.142 * (1.5)^{2}14.4$

$V = 2 * 3.142 * 2.25 * 14.4$

$V = 203. 6016$

Therefore, the volume of the cylindrical tube is 203. 6016cm³

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the formula;

$Density = \frac{mass}{volume}$

$Mass = density * volume$

Substituting into the equation, we have;

$Mass = 0.00123 * 203. 6016$

Mass = 0.2504g.