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Ch.10 - Gases: Their Properties & Behavior
Chapter 10, Problem 45

The surface temperature of Venus is about 1050 K, and the pressure is about 75 Earth atmospheres. Assuming that these conditions represent a Venusian 'STP,' what is the standard molar volume in liters of a gas on Venus?

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. This law is fundamental for understanding gas behavior under various conditions. In this context, it allows us to calculate the molar volume of a gas at the extreme conditions present on Venus.
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Ideal Gas Law Formula

Standard Molar Volume

Standard molar volume is the volume occupied by one mole of an ideal gas at standard temperature and pressure (STP), typically defined as 0°C (273.15 K) and 1 atm. However, in this question, we are asked to determine the molar volume under Venusian conditions, which differ significantly from typical STP.
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Standard Molar Volume

Conditions on Venus

Venus has extreme surface conditions, with high temperatures (around 1050 K) and pressures (about 75 atmospheres). These conditions significantly affect gas behavior and properties, necessitating adjustments to the Ideal Gas Law to calculate the molar volume accurately. Understanding these unique conditions is crucial for solving the problem.
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Related Practice
Textbook Question
What is the pressure in millimeters of mercury inside a container of gas connected to a mercury-filled open-end manometer of the sort shown in Figure 10.5 when the level in the arm connected to the container is 17.6 cm lower than the level in the arm open to the atmosphere and the atmospheric pressure reading outside the apparatus is 754.3 mm Hg?
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Textbook Question
What is the pressure in atmospheres inside a container of gas connected to a mercury-filled open-end manometer when the level in the arm connected to the container is 28.3 cm higher than the level in the arm open to the atmosphere and the atmospheric pressure reading outside the apparatus is 1.021 atm?
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Textbook Question
Assume that you have an open-end manometer filled with ethyl alcohol 1density = 0.7893 g>mL at 20 °C2 rather than mercury 1density = 13.546 g>mL at 20 °C2. What is the pressure in pascals if the level in the arm open to the atmosphere is 55.1 cm higher than the level in the arm connected to the gas sample and the atmospheric pressure reading is 752.3 mm Hg?
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Textbook Question
Calculate the average molecular weight of air from the data given in Table 10.1.
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Textbook Question

Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you were to do the following? (a) Triple the Kelvin temperature while holding the volume constant

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Textbook Question

Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you were to do the following? (b) Reduce the amount of gas by one-third while holding the temperature and volume constant

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