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
Step 1: Badilisha halijoto kutoka nyuzi joto Selsiasi (^ C) kwenda Kelvin (K). Tunatumia fomula T_K = T_C + 273. Halijoto ya awali, T_1 = 27^ C = 27 + 273 = 300\,K. Halijoto mpya, T_2 = 77^ C = 77 + 273 = 350\,K. Step 2: Tumia Sheria ya Charles. Sheria ya Charles inasema kwamba kwa kiasi fulani cha gesi kwenye shinikizo lisilobadilika, ujazo wa gesi unalingana moja kwa moja na halijoto yake kamili. Fomula yake ni: (V_1)/(T_1) = (V_2)/(T_2) Ambapo V_1 ni ujazo wa awali, T_1 ni halijoto ya awali, V_2 ni ujazo mpya, na T_2 ni halijoto mpya. Step 3: Panga upya fomula ili kupata V_2. V_2 = (V_1 × T_2)/(T_1) Step 4: Badilisha thamani na ufanye hesabu. Tunapewa V_1 = 120\,cm^3, T_1 = 300\,K, na T_2 = 350\,K. V_2 = (120\,cm^3 × 350\,K)/(300\,K) V_2 = (42000\,cm^3)/(300) V_2 = 140\,cm^3 Ujazo mpya wa gesi ni 140\,cm^3. 3 done, 2 left today. You're making progress.