At a certain temperature and pressure, 0.20 mol of carbon dioxide has a volume of 3.1 L. A 3.1-L sample of hydrogen at the same temperature and pressure

Question

BlackTom AI · Accepted Answer

Question recap: At a certain temperature and pressure, 0.20 mol of carbon dioxide occupies 3.1 L. A 3.1-L sample of hydrogen at the same temperature and pressure... (the sentence is cut in the prompt, but we can work with the idea that we are comparing volumes at the same T and P).

Option 1: 'has the same mass.' This would require the two gases to have identical mass in the same volume at the same T and P. However, mass depends on molar mass. CO2 has a molar mass of 44 g/mol, so 0.20 mol CO2 has a mass of 8.8 g in 3.1 L. Hydrogen (H2) has a molar mass of 2 g/mol, so 0.20 mol H2 would have a mass of 0.40 g if it contained 0.20 mol. Even if the gases occupy the same volume at the same conditions, the masses are not the same because their molar masses differ. Thus this statement is incorrect.

Option 2: 'contains the same number of atoms.' To compare atom counts, multiply the number of moles by Avogadro's number and by the number of atoms per molecule. CO2 has 3 atoms per molecule, while H2 has 2 atoms per molecule. For the same number of moles, CO2 samples contain more atoms overall than H2 samples. Therefore, this statement is false.

Option 3: 'has a higher density.' Density of a gas at fixed T and P is proportional to its molar mass (density ∝ M in these conditions). CO2 has a molar mass much larger than H2, so a 3.1-L sample at the same T and P would be denser if it is CO2 rather than H2. Since the question compares a 3.1-L H2 sample with a 0.20 mol CO2 sample occupying 3.1 L, the hydrogen sample does not have a higher density than a CO2 sample occupying the same volume; in fact, CO2 would be denser. This statement is incorrect as written if the comparison is within the same conditions.

Option 4: 'contains the same number of molecules.' Under the same temperature and pressure, equal volumes contain equal numbers of moles (Avogadro's law), and equal moles contain equal numbers of molecules. Since the CO2 sample is 0.20 mol, a 3.1-L sample of hydrogen at the same T and P would also contain 0.20 mol, hence the same number of molecules as the CO2 sample. This aligns with the gas-law relationship and the given volumes and moles. Therefore this statement is consistent with the underlying principle and is correct.

At a certain temperature and pressure, 0.20 mol of carbon dioxide has a volume of 3.1 L. A 3.1-L sample of hydrogen at the same temperature and pressure单项选择题

类似问题

Gas Laws describe the relationships between the physical properties of gases. Avogadro's Law can be represented as

Avogadro's law states that under constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of gas. What is the relationship consistent with this statement?

How did Egyptian culture and governance change during the Ptolemaic period compared to the pharaonic period?

Name the Supreme Court decision that removed financial constraints on PACs.

Political scientists Joshua Kalla and David Broockman find that senior policy makers made themselves available to _____ between three and four times more often than they did to constituents.

Name the political scientist who argues that parties are designed to serve the needs of ambitious politicians (namely candidates and officeholders).

Name the political scientist who said this famous quote about the problems of pluralism: “The flaw in the pluralist heaven is that the heavenly choir sings with a strong upper-class accent.”

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单