Q75E - Chemistry (OpenStax)

Question

A long ton is defined as exactly 2240 lb. What is this mass in kilograms?

Step-by-Step Solution

Answer

The mass in kilogram is 1016.0 kg.

Step 1: Describing the long ton and kilograms

Long ton -

 A long ton is the unit of mass in the British imperial system. One long ton equals 2240 pounds or 1016 kg or 1.016 metric tons. A long ton is 20 quintal.

\(1\,\,{\rm{Long}}\,{\rm{ton}}\,\, = \,\,1016\,\,{\rm{kilograms}}\,\, = \,\,2240\,\,{\rm{lb}}\)

Kilograms -

 It is also a unit of mass in the SI unit system. It is thousand times of gram. It is also said as a kilo. 

\(1\,\,\,{\rm{kilograms}}\,\, = \,\,{\rm{0}}{\rm{.000984207}}\,\,{\rm{Long}}\,{\rm{ton}}\)

Step 2: Converting the mass from Long ton to kg

The given mass is 2240 lb.

We have

\(1\,\,{\rm{Long}}\,{\rm{ton}}\,\, = \,\,1016\,\,{\rm{kilograms}}\,\, = \,\,2240\,\,{\rm{lb}}\)

Using the conversion factor, we get

\(1\,\,{\rm{Long}}\,{\rm{ton}}\,\, = \,\,\,\,\,\left( {1\,\,{\rm{Long}}\,{\rm{ton}}\, \times \,\frac{{1016\,\,{\rm{kilograms}}}}{{{\rm{Long}}\,{\rm{ton}}}}} \right)\,\, = \,\,1016\,\,{\rm{kilograms}}\)

The mass in kilograms is 1016.0 kg.

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