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if you answer all the questions correctly, i will add more points. What is the d

ID: 2241307 • Letter: I

Question

if you answer all the questions correctly, i will add more points.

What is the density of nitrogen gas (molecular mass = 28 u) at a pressure of 2.4 atmospheres and a temperature of 304 K? kg/m3 A gas fills the right portion of a horizontal cylinder whose radius is 5.50 cm. The initial pressure of the gas is 1.01 x 105 Pa. A frictionless movable piston separates the gas from the left portion of the cylinder, which is evacuated and contains an ideal spring, as the figure shows. The piston is initially held in place by a pin. The spring is initially unstrained, and the length of the gas-filled portion is 22.0 cm. When the pin is removed and the gas is allowed to expand, the length of the gas-filled chamber doubles. The initial and final temperatures are equal. Determine the spring constant of the spring. N/m An oxygen molecule is moving near the earth's surface. Another oxygen molecule is moving in the ionosphere (the uppermost part of the earth's atmosphere) where the Kelvin temperature is three times greater. Determine the ratio of the translational rms speed in the ionosphere to that near the earth's surface. A spherical balloon is made from a material whose mass is 3.00 kg. The thickness of the material is negligible compared to the 1.5 m radius of the balloon. The balloon is filled with helium (He) at a temperature of 304 K and just floats in air, neither rising nor falling. The density of the surrounding air is 1.19 kg/m3. Find the absolute pressure of the helium gas. Pa What is the average (rms) speed of the molecules of a helium gas at a temperature of 22 degree C? m/s

Explanation / Answer

1)Use ideal gas law

P?V = n?R?T
with molar mass M = m/n
for nitrogen M = 28 g?mol?