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Dear Students,
Welcome to today’s quiz! This is your opportunity to demonstrate what you’ve learned so far, so do your best. Please keep in mind that you have a maximum of 30 minutes to complete all the questions. Make sure to manage your time wisely and answer each question thoughtfully.
Good luck!
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Pertanyaan 1 dari 7
1. Pertanyaan
1 pointsSuatu jenis gas menempati volume 100 cm³ pada suhu 0°C dan tekanan 1 atm. Jika suhu dijadikan 50°C sedangkan tekanan dijadikan 2 atm, maka volume gas menjadi… cm³.
Benar
Suhu harus diubah dalam satuan kelvin
0°C = 273 K
50°C = 273 + 50 = 323 K
\(\color{blue}\dfrac{\text{P}_1 \cdot \text{V}_1}{\text{T}_1} = \dfrac{\text{P}_2 \cdot \text{V}_2}{\text{T}_2}\)
\(\dfrac{1 \text{ atm } \cdot 100 \text{ cm}^3}{273 \text{ K}} = \dfrac{2 \text{ atm } \cdot \text{V}_2}{323 \text{ K}}\)
\(\dfrac{\cancelto{50}{100}}{273} = \dfrac{\cancel{2}\text{V}_2}{323}\)
\(\dfrac{50 \times 323}{273} = \text{V}_2\)
\(59,2 \text{ cm}^3 = \text{V}_2\)
Salah
Suhu harus diubah dalam satuan kelvin
0°C = 273 K
50°C = 273 + 50 = 323 K
\(\color{blue}\dfrac{\text{P}_1 \cdot \text{V}_1}{\text{T}_1} = \dfrac{\text{P}_2 \cdot \text{V}_2}{\text{T}_2}\)
\(\dfrac{1 \text{ atm } \cdot 100 \text{ cm}^3}{273 \text{ K}} = \dfrac{2 \text{ atm } \cdot \text{V}_2}{323 \text{ K}}\)
\(\dfrac{\cancelto{50}{100}}{273} = \dfrac{\cancel{2}\text{V}_2}{323}\)
\(\dfrac{50 \times 323}{273} = \text{V}_2\)
\(59,2 \text{ cm}^3 = \text{V}_2\)
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Pertanyaan 2 dari 7
2. Pertanyaan
1 pointsPada keadaan normal (0°C, 1 atm), 4 gram \(\ce{O2}\) memiliki volume sebesar… m³
Benar
\(\color{blue} \text{P}\cdot \text{V} = n \cdot \text{R} \cdot \text{T}\)
\(1 \times 10^5 \text{ Pa }\cdot \text{V} = \dfrac{4}{32} \text{ mol } \cdot 8,314 \text{ J/mol K }\cdot 273 \text{ K}\)
\(1 \times 10^5 \text{ Pa }\cdot \text{V} = 283,715\)
\(\text{V} = \dfrac{283,715}{10^5} \text{ m}^3\)
\(\text{V} = 2,8 \times 10^{-3} \text{ m}^3\)
Salah
\(\color{blue} \text{P}\cdot \text{V} = n \cdot \text{R} \cdot \text{T}\)
\(1 \times 10^5 \text{ Pa }\cdot \text{V} = \dfrac{4}{32} \text{ mol } \cdot 8,314 \text{ J/mol K }\cdot 273 \text{ K}\)
\(1 \times 10^5 \text{ Pa }\cdot \text{V} = 283,715\)
\(\text{V} = \dfrac{283,715}{10^5} \text{ m}^3\)
\(\text{V} = 2,8 \times 10^{-3} \text{ m}^3\)
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Pertanyaan 3 dari 7
3. Pertanyaan
1 pointsSuatu gas ideal tekanannya 30 N/m², volumenya 1,38 liter dan suhunya 27°C. Jumlah partikel gas tersebut adalah… partikel
Benar
\(\color{blue} \text{P}\cdot \text{V} = N\cdot \text{K} \cdot \text{T}\)
\(30 \text{ N/m²}\cdot 1,38 \times 10^{-3} = N\cdot 1,38 \times 10^{-23} \text{ J/K} \cdot 300 \text{ K}\)
\(\cancel{30} \text{ N/m²}\cdot \cancel{1,38} \times 10^{-3} = N\cdot \cancel{1,38} \times 10^{-23} \text{ J/K} \cdot \cancelto{10}{300} \text{ K}\)
\(1 \times 10^{-3} = N \cdot 1 \times 10^{-22}\)
\(N = \dfrac{1 \times 10^{-3}}{1 \times 10^{-22}}\)
\(N = 1 \times 10^{19}\)
Salah
\(\color{blue} \text{P}\cdot \text{V} = N\cdot \text{K} \cdot \text{T}\)
\(30 \text{ N/m²}\cdot 1,38 \times 10^{-3} = N\cdot 1,38 \times 10^{-23} \text{ J/K} \cdot 300 \text{ K}\)
\(\cancel{30} \text{ N/m²}\cdot \cancel{1,38} \times 10^{-3} = N\cdot \cancel{1,38} \times 10^{-23} \text{ J/K} \cdot \cancelto{10}{300} \text{ K}\)
\(1 \times 10^{-3} = N \cdot 1 \times 10^{-22}\)
\(N = \dfrac{1 \times 10^{-3}}{1 \times 10^{-22}}\)
\(N = 1 \times 10^{19}\)
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Pertanyaan 4 dari 7
4. Pertanyaan
1 pointsGas dalam ruangan tertutup bersuhu 42°C dan tekanan 7 atm, serta volume 8 liter. Apabila suhunya dipanasi sampai 87°C dan tekanannya naik sebesar 1 atm, maka volume gas…
Benar
\(\color{blue}\dfrac{\text{P}_1 \cdot \text{V}_1}{\text{T}_1} = \dfrac{\text{P}_2 \cdot \text{V}_2}{\text{T}_2}\)
\(\dfrac{7 \text{ atm } \cdot 8 \text{ liter}}{315 \text{ K}} = \dfrac{8 \text{ atm } \cdot \text{V}_2}{360 \text{ K}}\)
\(\dfrac{\cancel{7} \text{ atm } \cdot \cancel{8} \text{ liter}}{\cancelto{45}{315} \text{ K}} = \dfrac{\cancel{8} \text{ atm } \cdot \text{V}_2}{360 \text{ K}}\)
\(\dfrac{360}{45} = \text{V}_2\)
\(\text{V}_2 = 8 \text{ liter}\)
Salah
\(\color{blue}\dfrac{\text{P}_1 \cdot \text{V}_1}{\text{T}_1} = \dfrac{\text{P}_2 \cdot \text{V}_2}{\text{T}_2}\)
\(\dfrac{7 \text{ atm } \cdot 8 \text{ liter}}{315 \text{ K}} = \dfrac{8 \text{ atm } \cdot \text{V}_2}{360 \text{ K}}\)
\(\dfrac{\cancel{7} \text{ atm } \cdot \cancel{8} \text{ liter}}{\cancelto{45}{315} \text{ K}} = \dfrac{\cancel{8} \text{ atm } \cdot \text{V}_2}{360 \text{ K}}\)
\(\dfrac{360}{45} = \text{V}_2\)
\(\text{V}_2 = 8 \text{ liter}\)
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Pertanyaan 5 dari 7
5. Pertanyaan
1 pointsSuatu gas tekanannya 50 atm, suhunya 25°C dibiarkan memuai hingga volumenya menjadi 15 kali volume semula, dan gas bertekanan 1 atm. Suhu gas sekarang adalah…
Benar
\(\color{blue}\dfrac{\text{P}_1 \cdot \text{V}_1}{\text{T}_1} = \dfrac{\text{P}_2 \cdot \text{V}_2}{\text{T}_2}\)
\(\dfrac{50 \text{ atm } \cdot \cancel{\text{V}_1}}{298 \text{ K}} = \dfrac{1 \text{ atm } \cdot 15\cdot \cancel{\text{V}_1}}{\text{T}_2}\)
\(\dfrac{50}{298} = \dfrac{15}{\text{T}_2}\)
\(\text{T}_2 = \dfrac{298 \times 15}{50}\)
\(\text{T}_2 = 89,4 \text{ K}\)
Salah
\(\color{blue}\dfrac{\text{P}_1 \cdot \text{V}_1}{\text{T}_1} = \dfrac{\text{P}_2 \cdot \text{V}_2}{\text{T}_2}\)
\(\dfrac{50 \text{ atm } \cdot \cancel{\text{V}_1}}{298 \text{ K}} = \dfrac{1 \text{ atm } \cdot 15\cdot \cancel{\text{V}_1}}{\text{T}_2}\)
\(\dfrac{50}{298} = \dfrac{15}{\text{T}_2}\)
\(\text{T}_2 = \dfrac{298 \times 15}{50}\)
\(\text{T}_2 = 89,4 \text{ K}\)
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Pertanyaan 6 dari 7
6. Pertanyaan
1 pointsDiketahui volume tabung B dua kali volume tabung A, keduanya terisi gas ideal. Tabung B dihubungkan dengan tabung A. Volume tabung penghubung dapat diabaikan. Gas A berada pada suhu 300 K. Bila jumlah molekul dalam A adalah N dan jumlah molekul B adalah 3N, maka suhu gas dalam B adalah…
Benar
Karena tabung A dihubungkan dengan tabung B maka tekanan gas pada kedua tabung sama.
\(\text{P}_{\text{A}} = \text{P}_{\text{B}}\)
\(\dfrac{N_{\text{A}} \cdot \cancel{K} \cdot T_{\text{A}}}{V_{\text{A}}} = \dfrac{N_{\text{B}} \cdot \cancel{K} \cdot T_{\text{B}}}{V_{\text{B}}}\)
\(\dfrac{\cancel{N} \cdot 300}{\cancel{V_{\text{A}}}} = \dfrac{3\cancel{N} \cdot T_{\text{B}}}{2\cdot \cancel{V_{\text{A}}}}\)
\(\dfrac{300}{1} = \dfrac{3\cdot T_{\text{B}}}{2}\)
\(600 = 3\cdot T_{\text{B}}\)
\(T_{\text{B}} = \dfrac{600}{3}\)
\(T_{\text{B}} = 200 \text{ K}\)
Salah
Karena tabung A dihubungkan dengan tabung B maka tekanan gas pada kedua tabung sama.
\(\text{P}_{\text{A}} = \text{P}_{\text{B}}\)
\(\dfrac{N_{\text{A}} \cdot \cancel{K} \cdot T_{\text{A}}}{V_{\text{A}}} = \dfrac{N_{\text{B}} \cdot \cancel{K} \cdot T_{\text{B}}}{V_{\text{B}}}\)
\(\dfrac{\cancel{N} \cdot 300}{\cancel{V_{\text{A}}}} = \dfrac{3\cancel{N} \cdot T_{\text{B}}}{2\cdot \cancel{V_{\text{A}}}}\)
\(\dfrac{300}{1} = \dfrac{3\cdot T_{\text{B}}}{2}\)
\(600 = 3\cdot T_{\text{B}}\)
\(T_{\text{B}} = \dfrac{600}{3}\)
\(T_{\text{B}} = 200 \text{ K}\)
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Pertanyaan 7 dari 7
7. Pertanyaan
1 pointsSuatu gelembung udara memiliki volume V di dasar danau yang kedalamannya 30 m. Gelembung udara itu naik ke atas permukaan air. Ketika gelembung udara telah naik 15 m, volumenya…
Benar
Misal tekanan di dasar danau (pada kedalaman 30 m) adalah P1 dan tekanan pada kedalaman 15 meter adalah P2.
P1 = Po + Ph
P1 = 100.000 Pa + ρ. g. h1
P1 = 100.000 + 1000. 10. 30
P1 = 400.000 Pa
P2 = Po + Ph
P2 = 100.000 Pa + ρ. g. h2
P2 = 100.000 + 1000. 10. 15
P2 = 250.000 Pa
P1.V1 = P2.V2
400.000. V = 250.000. V2
V2 = 8/5 V
Salah
Misal tekanan di dasar danau (pada kedalaman 30 m) adalah P1 dan tekanan pada kedalaman 15 meter adalah P2.
P1 = Po + Ph
P1 = 100.000 Pa + ρ. g. h1
P1 = 100.000 + 1000. 10. 30
P1 = 400.000 Pa
P2 = Po + Ph
P2 = 100.000 Pa + ρ. g. h2
P2 = 100.000 + 1000. 10. 15
P2 = 250.000 Pa
P1.V1 = P2.V2
400.000. V = 250.000. V2
V2 = 8/5 V