Question: The Broadway expedition occurred in a war during what dynasty of China?

Context paragraphs:
First Opium War: The First Opium War (第一次鴉片戰爭), also known as the Opium War or the Anglo-Chinese War, was a series of military engagements fought between the United Kingdom and the Qing dynasty over conflicting viewpoints on diplomatic relations, trade, and the administration of justice in China.

Jackson Expedition: The Jackson Expedition occurred in the aftermath of the surrender of Vicksburg, Mississippi in July 1863.  Union Maj. Gen. William Tecumseh Sherman led the expedition to clear General Joseph E. Johnston's relief effort from the Vicksburg area.  The mission was successful and helped ensure that the Mississippi River remained in Union possession for the remainder of the war.

Algiers expedition (1541): The 1541 Algiers expedition occurred when Charles V of the Holy Roman Empire attempted to lead a fleet against the Ottoman Empire's stronghold of Algiers, in modern Algeria.  Largely because of stormy weather, the expedition was a failure.

Nukapu Expedition: The Nukapu Expedition occurred between October 1871 and February 1872 and was a British punitive operation in response to the murder of Bishop John Coleridge Patteson by the natives of Nukapu.  A Royal Navy warship was sent to the island and it sank a group of hostile war-canoes and landed men to attack a fortified village.

Hemenway Southwestern Archaeological Expedition: Hemenway Southwestern Archaeological Expedition occurred between 1886 and 1894 in the American southwest.  Sponsored by Mary Tileston Hemenway, a wealthy widow and philanthropist, it was initially led by Frank Hamilton Cushing, who was replaced in 1889 by Jesse Walter Fewkes.  It was considered to be a major scientific archaeological expedition, notable for the discovery of the prehistoric Hohokam culture.  Until the 1930s, the expeditionary records were in storage.  Emil Haury, a Harvard University student, published a monograph on Los Muertos in 1945, a site investigated in detail by the Hemenway Expedition and dated to the Hohokam culture.

Broadway expedition: The Broadway expedition was a British military expedition that explored the Broadway River (present-day Xi River) in Guangdong province, China, on 13–15 March 1841 during the First Opium War.  The river was also called the "Inner Passage" or "Macao Passage" as it served as an intricate channel from the Portuguese colony of Macao to the Chinese city of Canton (Guangzhou).  The expedition was the first time a European vessel traversed the passage, and was believed by the Chinese to be inaccessible to foreigners due to the shallowness and intricacy of the channel as well as the forts along the banks.  The iron steamship "Nemesis" had a shallow draught of 6 ft , which was a major advantage in navigating the river.  Despite being over 600 tons burden, the ship was able to navigate through a river that frequently had less than 6 feet of water and through mud in areas of only 5 ft .

Larache expedition: The Larache expedition occurred in June 1765 when French Navy troops attacked the Moroccan city of Larache following a bombardment of Salé and Rabat.  It is an example of the sporadic failure of Western arms against local forces in colonial campaigns.

Falklands Expedition: The Falklands Expedition occurred in late 1831 when the United States Navy warship USS "Lexington" was dispatched to investigate the plunder of two whalers at the small Argentine colony of Puerto Soledad.  American forces discovered that the settlers were suffering from famine so they were evacuated in the "Lexington" to the mainland.  The Argentine colony was then abandoned which left the islands unsettled and open for British acquisition.  Historically, the Argentine government has disputed the rights to the islands with the United Kingdom and it culminated in the Falklands War of 1982.

Newfoundland expedition (1702): The Newfoundland expedition was a naval raiding expedition led by English Captain John Leake between August and October 1702 that targeted French colonial settlements on the North Atlantic island of Newfoundland and its satellite Saint Pierre.  The expedition occurred in the early days of Queen Anne's War, as the North American theater of the War of the Spanish Succession is sometimes known.

Camden Expedition National Historic Landmark: The Camden Expedition National Historic Landmark is a national historic landmark district consisting of eight historic sites where events of the American Civil War's Camden Expedition occurred.  The sites are spread across six or seven counties:

Supporting paragraphs: Broadway expedition First Opium War
Answer: Qing dynasty