{"product_id":"nitrogen-at-300-k-plate-014-physics-poster","title":"Nitrogen at 300 K – Plate 014 Physics Poster","description":"\u003cp\u003ePlate 14 speaks for itself: \u003cem\u003e“The air in this room averages 1,700 km\/h.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eMolecules in a gas have a Maxwell–Boltzmann spread of speeds. For N₂ at 300 K the most probable, mean and rms speeds are all around 400–500 m\/s; the mean, 476 m\/s, is about 1 700 km\/h.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ev_p = √(2 k_B T \/ m)\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ev_p: most probable speed, m s⁻¹\u003c\/li\u003e\n\u003cli\u003ek_B: Boltzmann constant, J K⁻¹\u003c\/li\u003e\n\u003cli\u003eT: temperature, K\u003c\/li\u003e\n\u003cli\u003em: molecular mass (N₂: 4.65×10⁻²⁶ kg), kg\u003c\/li\u003e\n\u003cli\u003e⟨v⟩: mean speed √(8k_BT\/πm), m s⁻¹\u003c\/li\u003e\n\u003cli\u003ev_rms: root-mean-square speed √(3k_BT\/m), m s⁻¹\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eN₂, T = 300 K: v_p ≈ 422, ⟨v⟩ ≈ 476, v_rms ≈ 517 m\/s. Maxwell, 1860.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eHonest caveat:\u003c\/em\u003e The molecules move fast but random; the air as a whole stays still.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\u003cli\u003eJ. C. Maxwell, Phil. Mag. 19, 19 (1860).\u003c\/li\u003e\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 014, “Nitrogen at 300 K”: the pixel-art plate with its slogan “The air in this room averages 1,700 km\/h.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50961693540455,"sku":"20688916605274330199","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961693573223,"sku":"24217501796400397506","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961693605991,"sku":"27329306097476410034","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961693638759,"sku":"15761507411121163475","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961693671527,"sku":"31348376324551603529","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961693704295,"sku":"13845644252725915984","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961693737063,"sku":"10712697007907276420","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961693769831,"sku":"24798764363130285883","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961693802599,"sku":"82205909174722183073","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/3819294252848904640_2048.jpg?v=1793632418","url":"https:\/\/pixelatedphysics.com\/es\/products\/nitrogen-at-300-k-plate-014-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}