### Temperature Conversion- **Celsius to Kelvin:** \[ T_C = T_k - 273^\circ C \]- **Celsius to Fahrenheit:** \[ T_F = \frac{9}{5}T_C + 32 \]- **Fahrenheit to Celsius:** \[ T_C = \frac{5}{9}(T_F - 32) \]### Thermal Expansion- **Linear Expansion:** \[ \Delta L = \alpha L_0 \Delta T \]- **Area Expansion:** \[ \Delta A = \gamma A_0 \Delta T \] \[ \gamma = 2\alpha \]- **Volume Expansion:** \[ \Delta V = \beta V_0 \Delta T \] \[ \beta = 3\alpha \]### Ideal Gas Law\[ PV = nRT \]### Combined Gas Law\[ \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} \]### Kinetic Theory of Gases\[ \frac{1}{2} mv^2 = \frac{3}{2}k_b T \]- **Boltzmann's Constant:** \[ k_B = 1.38 \times 10^{-23} \, \text{J/K} \]### Constants- **Number of Moles (n):** \[ n = \frac{\text{mass (grams)}}{\text{molecular weight}} \]- **Avogadro’s Number:** \[ N_A = 6.02 \times 10^{23} \]- **Universal Gas Constant (R):** \[ R = 8.31 \, \text{J/mole-K} \] Suppose some nitrogen gas is contained in a cylinder whose volume is 0.00830 m³. The pressure in the box is 3.44 x 10⁶ Pascals, and the temperature is 39°C. (Molecular weight of N₂ = 28)Find:(a) the number of moles of nitrogen in the gas in the box,(b) the mass of one molecule of nitrogen (N₂),(c) the average speed of a molecule in the gas.

Volume (V) = 0.00830 m3Pressure (P) = 3.44×106 Pascals Temperature (T) = 39oC = 312 Kelvin

Suppose some nitrogen gas is contained in a cylinder whose volume is 0.00830 m³. The pressure in the box is 3.44 X 106 Pascals, and the temperature is 39°C. (Molecular weight of = 28) Find (a) the number of moles of nitrogen in the gas in the box, (b) the mass of one molecule of nitrogen (N2) (b) the average speed of a molecule in the gas.

Suppose some nitrogen gas is contained in a cylinder whose volume is 0.00830 m³. The pressure in the box is 3.44 X 106 Pascals, and the temperature is 39°C. (Molecular weight of = 28) Find (a) the number of moles of nitrogen in the gas in the box, (b) the mass of one molecule of nitrogen (N2) (b) the average speed of a molecule in the gas.

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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