Four tanks A, B, C, and D are filled with monatomic ideal gases. For each tank, the mass of an individual atom and the RMS speed of the atoms are expressed in terms of \( m \) and \( v_{\text{rms}} \) respectively (see the table). Suppose that \( m = 2.23 \times 10^{-26} \, \text{kg} \), and \( v_{\text{rms}} = 1050 \, \text{m/s} \). Find the temperature of the gas in each tank.| | A | B | C | D ||-------|-----|---------|-------|--------|| Mass | \( m \) | \( m \) | \( 2m \) | \( 2m \) || RMS speed | \( v_{\text{rms}} \) | \( 2v_{\text{rms}} \) | \( v_{\text{rms}} \) | \( 2v_{\text{rms}} \) |**Tasks:**- (a) \( T_A = \) - (b) \( T_B = \) - (c) \( T_C = \) - (d) \( T_D = \) Use the dropdown to select the temperature calculation based on kinetic theory of gases.

Given : mass m= 2.23×10-26 kgvrms=1050 m/s Formula used to calculate vrms=3kTmAlso T=mV2rms3khere,…

Four tanks A, B, C, and D are filled with monatomic ideal gases. For each tank, the mass of an individual atom and the rms speed of the atoms are expressed in terms of m and Vrms respectively (see the table). Suppose that m = 2.23 x 10-26 kg, and Vrms = 1050 m/s. Find the temperature of the gas in each tank.

Four tanks A, B, C, and D are filled with monatomic ideal gases. For each tank, the mass of an individual atom and the rms speed of the atoms are expressed in terms of m and Vrms respectively (see the table). Suppose that m = 2.23 x 10-26 kg, and Vrms = 1050 m/s. Find the temperature of the gas in each tank.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Diatomic Gas

Molecule, is a collection of two or more atoms together (which constitute the smallest observable unit) into a pure material. There are some ways to represent the structure of a molecule. Factor symbols represent atoms in Lewis structures, and dots represent electrons that accompany them. A pair of mutual electrons (covalent bond) may be represented by a single dash. The ball-and-stick model depicts the spatial structure of the atoms better.

Question

Four tanks A, B, C, and D are filled with monatomic ideal gases. For each tank, the mass of an individual atom and the RMS speed of the atoms are expressed in terms of \( m \) and \( v_{\text{rms}} \) respectively (see the table). Suppose that \( m = 2.23 \times 10^{-26} \, \text{kg} \), and \( v_{\text{rms}} = 1050 \, \text{m/s} \). Find the temperature of the gas in each tank.

| | A | B | C | D |
|-------|-----|---------|-------|--------|
| Mass | \( m \) | \( m \) | \( 2m \) | \( 2m \) |
| RMS speed | \( v_{\text{rms}} \) | \( 2v_{\text{rms}} \) | \( v_{\text{rms}} \) | \( 2v_{\text{rms}} \) |

**Tasks:**

- (a) \( T_A = \)
- (b) \( T_B = \)
- (c) \( T_C = \)
- (d) \( T_D = \)

Use the dropdown to select the temperature calculation based on kinetic theory of gases.

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