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Expenditure is the action of spend (use the money for a purchase or to pay for a service, use something, eat). In the economic context, means expenditure any amount spent, i.e., costs. The expense is a concept of both utility for households (families) than for companies or for the Government.
A family must monitor and manage its expenses so that its revenues allow it to cope with its obligations and to meet their needs. A company, in turn, must know its expenses in detail because they can harm revenues. In the case of a Government, which does not seek financial interest, the expenditure control is essential to prevent the fiscal deficit.
The settlement of the invoices (electricity, gas, telecommunications) and races (food purchase), for example, are part of household expenditure. Companies also spend money for funding/investment and wages, while a government expenditure in civil engineering works (motorways, etc.).
Public expenditure is that which is carried out on behalf of the State and public institutions, in general. Social expenditures are those relating to social action, either public spending that is intended to cover the basic needs of the people.
For physics, the expenditure is the amount of liquid or gas that passes through a pipe or a hole during a certain time and under certain circumstances.
Finally, energy expenditure is the amount that a person is spending to ensure its basic metabolism and to maintain the internal temperature of the body allowing it to grow healthily. Man, for example, more than women, spends while sedentary spend less than athletes (because they are more active).