Question

If an aspirin tablet contains 325 mg aspirin, how many grams of aspirin does it contain?

Short answer

The mass of the aspirin tablet is 325 x 10^-3 gm.

Step-by-step solution

Defining the milligram and gram terms

Milligram (mg) -

It is a unit of mass. It isone-thousandthof a gram and amillionthtimes a kilogram. It is denoted bymg. This unit has been used in nutrient and composition measures in medicines and various commercial food products.

\(1\,\,mg\,\, = \,\,{10^{ - 3}}\,\,gm\,\, = \,\,{10^3}\,\,\mu g\)

Gram (g) -

It is also a unit of mass. It is one-thousandth of a kilogram while the millionth times of microgram. It is denoted byg. This unit is used in daily life.

\(1\,\,g\,\, = \,\,{10^{ - 3}}\,\,kg\,\, = \,\,{10^6}\,\,\mu g\)

 Step 2: Converting the mass of aspirin tablet from units of mg to gm

It is given the mass of the aspirin tablet is 325 mg.

We have

\(1\,\,mg\,\, = \,\,{10^{ - 3}}\,\,g\)

Using the conversion factor, we get

\(325\,\,mg\,\, = \,\,325\,\left( {mg\, \times \,\frac{g}{g}} \right)\,\, = \,\,325\,\, \times \,\,{10^{ - 3}}\,\,g\)

The mass of the aspirin tablet is 325x10^-3 g.