The Pneumatic Institution (also referred to as Pneumatic Institute) was a medical research facility in Bristol, England, in 1799–1802. It was established by physician and science writer Thomas Beddoes to study the medical effects of the gases that had recently been discovered. Humphry Davy headed the Institution's laboratory, examining the effects of laughing gas on himself and others, and James Watt designed much of the lab's equipment.
After Lavoisier had established the role of oxygen in animal respiration, members of the Lunar Society, such as Joseph Priestley (who had co-discovered oxygen), originated pneumatic chemistry, which eventually led to the establishment of the Pneumatic Institution.
Georgiana, Duchess of Devonshire, who was unusually educated about Chemistry, visited Thomas Beddoes in his laboratory in Hope Square, Bristol, in December 1793. He had set it up earlier that year to study possible medical uses of the recently discovered gases. During her second, extended, visit, "the idea of replacing the existing outpatient facility with a hospital—a Medical Pneumatic Institution—was first formulated." In 1794, she tried to persuade Sir Joseph Banks, who was President of the Royal Society of London at the time, to lend support to Beddoes' efforts. Sir Joseph refused, citing scientific objections in addition to his political concerns about Beddoes' sympathising with the French revolution. Even a supporting request from Watt did not change Banks' mind.
Beddoes had moved from Oxford in 1793 and established himself as a physician. He moved near to the Hotwells area of Bristol where many sufferers from tuberculosis were gathered in the hope of a cure. By 1794 Beddoes had arranged for the manufacture of suitable apparatus by the firm of Boulton and Watt and the first of the "pneumatic patients" was a Mr Knight of Painswick, whom Beddoes treated with "unrespirable airs" for a deep-seated ulcer of the pelvis. By 5 March 1795 Beddoes was reporting successful treatment of paralytic patients and ordering an apparatus and oxygen for a Mr Gladwell in Clifton.