A gas occupies 600 mL at a pressure of 900 mmHg. What will be its volume when the pressure is reduced to 750 mmHg, assuming temperature remains constant?

Question

BlackTom AI · Accepted Answer

We start by identifying the governing principle for this problem: Boyle's Law, which states that for a fixed amount of gas at constant temperature, pressure times volume is constant (P1V1 = P2V2).

Option 1: 720 mL
This value satisfies Boyle's Law with P1 = 900 mmHg, V1 = 600 mL, P2 = 750 mmHg. Calculating V2 = (P1V1)/P2 = (900×600)/750 = 540000/750 = 720 mL. Therefore, this option is numerically correct.

Option 2: 560 mL
If V2 were 560 mL, then P2V2 would be 750×560 = 420,000. But P1V1 equals 540,000, not matching P2V2, so this would violate P1V1 = P2V2. This demonstrates a misapplication or miscalculation of Boyle's Law.

Option 3: 480 mL
A volume of 480 mL would yield P2V2 = 750×480 = 360,000, which again does not equal the initial product 540,000. This shows an inconsistency with the constant-temperature gas law and indicates incorrect use of the relationship.

Option 4: 680 mL
With 680 mL, P2V2 = 750×680 = 510,000, still not matching P1V1 = 540,000. This option fails to satisfy the fundamental equality P1V1 = P2V2 under constant temperature, so it is incorrect.

Overall, only the 720 mL result preserves the product P×V across the pressure change, in accordance with Boyle's Law. The other volumes do not maintain P1V1 = P2V2 and thus are incorrect interpretations.

2254 CHEM 0101 SEC2010 HW 9

A gas occupies 600 mL at a pressure of 900 mmHg. What will be its volume when the pressure is reduced to 750 mmHg, assuming temperature remains constant?

查看解析

登录即可查看完整答案

类似问题

The relationship between the pressure and volume of gases is given by ______________ law.

Question at position 6 Which law describes the relationship between volume and pressure in gases?Dalton's LawHenry's LawBoyle's LawGraham's LawCharles's Law

A sample of oxygen gas occupies 47.2 litres under a pressure of 1240 mm Hg at 25oC. What volume would it occupy at 25oC if the pressure were decreased to 730 mm Hg?

If the volume of a container of air is reduced by one-half, what happens to the partial pressure of oxygen within the container?

A gas occupies a volume of 2.4 L at 14.1 kPa. What volume will the gas occupy at 84.6 kPa?

Question at position 17 A sample of carbon dioxide gas at 125°C and 248 torr occupies a volume of 275 L. What will the gas pressure be if the volume is increased to 321 L at 125°C? 356 torr 289 torr 441 torr 359 torr 212 torr

A gas in a balloon has a volume of 12.0 L at a pressure of 1.0 atm. If the balloon is taken underwater where the pressure increases to 3.0 atm, what will be the new volume of the gas, assuming temperature stays constant?

更多留学生实用工具

考试浏览器助手

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