l AT&T; 2:41 AM webassign.net A volume of nitrogen gas has a density of 1.08 kg/

Question

l AT&T; 2:41 AM webassign.net A volume of nitrogen gas has a density of 1.08 kg/m3 and a pressure of 1.23 atm. Find the temperature of the gas and the rms speed of its molecules. Find the number of atoms in a gold ring of mass 4.17g. atoms By how much will the volume of coolant in an automobile radiator increase when its temperature increases by 102 C° if the initial volume of coolant is 19 liters and its thermal coefficient of expansion is 5.0 104 (co? By how much does the air pressure in a house increase if the house is sealed and the air temperature increases from 12.0° C to 18.1° C? The initial air pressure is 1.00 atmosphere. Find the mass in grams of a carbon dioxide molecule. Find the temperature in °F corresponding to the following temperatures on the Celsius scale: A solid wood door 1.05 m wide is hung in a metal door way at 0.0°C with a clearance of 1.7 mm on the side. If the linear coefficient of expansion of the wood is 6.0. 10-5(C")-1, at what temperature would the door begin to touch the side of the doorway? Assume that the metal doorway does not expand significantly.

Explanation / Answer

1)

Given :

d = 1.08 kg/m^3

P = 1.28 atm

M = 0.028 kg

Using ideal gas equation

P *M = d*R*T

1.28 x 1.01 x 10^5 x 0.028 = 1.08 x 8.314 x T

T = 403.14 K

Now , for RMS speed

Vrms = sqrt(3RT/M)

Vrms = sqrt(2 x 8.314 x 403.14) / 0.028)

Vrms = 489.293 m/s

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