Question

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/cm3, what is the mass of the gas in the tube in mg?

Answer 1

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The correct answer is 23

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Answer 2

Given: A cylindrical tube has a length of 14.4 cm and radius of 1.5 cm. It is filled with a colourless gas. The density of the gas is known to be 0.00123 g/cm^3

To find: Mass of the gas in the tube in mg

Explanation: Length of the tube(h)= 14.4 cm

Radius of the tube(r)= 1.5 cm

The formula for calculating volume of cylinder:

$volume = \pi {r}^{2} h$

$volume = 3.14 \times( {1.5})^{2} \times 14.4$

Volume= 101.736

Therefore, the volume of the cylinder is 101.736 g/cm^3

Density= Mass * Volume

=>Mass = Density/ Volume

= 0.00123/101.736

= 1.2 * 10^-5 grams

= 0.012 mg( since 1 mg= 10^-3 grams)

Therefore, the mass of the cylinder is 0.012 miligrams(mg).