4) a container holds 2g of oxygen at a temperature of 8atm. A) how much heat is

Question

4) a container holds 2g of oxygen at a temperature of 8atm. A) how much heat is required to increase the temperature by 100degree Celsius at constant pressure? B) how much will the temperature increase if this amount of heat energy is transferred to the gas at constant volume? 5) a light wave has 690nm wavelength in air. It's wavelength in a transparent solid is 460nm. A) what is the speed of light in this solid? B) what is the light'a frequency in the solid? 6). a. At 20 degree Celsius what is the frequency of a sound wave in air whit a wavelength of 20 cm? B) what is the frequency of electromagnetic wave whit a wavelength 20 cm? 7) A 0.4 mm wide slit is illuminated by light of wavelength 650 nm.what is the width of the central maximum on a screen 2.5m behind the slit?

Explanation / Answer

(a)

Since no work is done in a constant volume process, the change of internal energy equals the heat transferred to the gas.

?U = Q

Assuming ideal gas behavior, the internal energy of the argon sample ideal gas is given by:

U = n?Cv?T

thus,

?U = n?Cv??T

The molar heat capacity at constant volume of a monatomic ideal gas like argon is:

Cv = (3/2)?R

The number of moles in the sample is

n = m/M = 1.2g / 39.948g/mol = 3.004

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