Help me in this 4 problem in steps by steps What is the mass of nitrogen in an n

Question

Help me in this 4 problem in steps by steps What is the mass of nitrogen in an nitrogen tank at 30 degree C if the tank has a volume of 0.30 m^3 and the nitrogen pressure in the tank is 5.0 times 10^6 N/m^2 (mass of one mole of nitrogen is 28 g and the universal gas constant is 8.31 N middot m middot mol^-1 middot K^-1). Three moles of oxygen is heated at a constant volume starting at 0 degree C. How much heat energy must be added to the gas to double its temperature? The motor in a refrigerator has a power supply of 25 W. If the freezing compartment is at 255 K and the outside air is at 300 K, assuming ideal efficiency, what is the maximum amount of heat that can be extracted from the freezing compartment in 5 min? Helium gas at 20 C and at 0.50 atm is contained in a well-insulated cylinder fitted with a piston. The piston is moved very slowly (adiabatic expansion) so that the volume increases to three times its original value. A) what is the final pressure? B) what is the final temperature of the gas?

Explanation / Answer

4) A) He is a monoatomic gas

so gamma = 5/3

For an adiabatic process

P1V1^(gamma) = P2V2^(gamma)

0.5*V^(5/3) = P2*(3V)^(5/3)

P2 = 0.08 atm

B) T1*V1^(gamma - 1) = T2*V2^(gamma - 1)

293 * V(5/3 - 1) = T2 * (3V)^(5/3 - 1)

T2 = 609 K

=336.4 C

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