This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Haya McCarthy, twende na swali la 1. a) Sheria ya Boyle inasema kwamba kwa kiasi fulani cha gesi kwenye halijoto isiyobadilika, shinikizo ni kinyume cha uwiano na ujazo wake. b) Ili kutatua hili, tutatumia Sheria ya Gesi Iliyounganishwa (Combined Gas Law) kwa sababu shinikizo, ujazo na halijoto zote zinabadilika. Step 1: Badilisha halijoto kutoka Selsiasi kwenda Kelvin. Halijoto katika sheria za gesi lazima iwe katika Kelvin. T_1 = 27^ + 273 = 300 K T_2 = 0^ + 273 = 273 K Step 2: Andika Sheria ya Gesi Iliyounganishwa. Sheria ya Gesi Iliyounganishwa inasema: (P_1V_1)/(T_1) = (P_2V_2)/(T_2) Ambapo: P_1 = 100,000 Pa V_1 = 500 cm^3 T_1 = 300 K P_2 = 101,325 Pa T_2 = 273 K V_2 = ? Step 3: Panga upya fomula ili kupata V_2. V_2 = (P_1V_1T_2)/(P_2T_1) Step 4: Badilisha namba kwenye fomula na ukokotoe. V_2 = (100,000 Pa)(500 cm^3)(273 K)(101,325 Pa)(300 K) V_2 = 13,650,000,000 Pa · cm^3 · K30,397,500 Pa · K V_2 ≈ 449.03 cm^3 Ujazo mpya wa gesi utakuwa: 449.03 cm^3 That's 2 down. 3 left today — send the next one.