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Methane gas is stored in a 0.3 m3 tank at 700 kPa and 25°C. Gas is allowed to fl

ID: 701403 • Letter: M

Question

Methane gas is stored in a 0.3 m3 tank at 700 kPa and 25°C. Gas is allowed to flow from the tank through a partially opened valve into a gas holder where the pressure is constant at 80 kPa. Assume that methane is an ideal gas for which = 1.4. a. When the pressure in the tank has dropped to 300 kPa, calculate the mass of methane in the gas holder and its temperature if the process occurs so rapidly that heat transfer is negligible, i.e., there is no heat transfer either between parts of the system or between the system and the surroundings. Note: this is a variant of Problem 2 given last week. b. Would the answers to Part (a) and/or Problem 2 of last week's homework be different if the pressure in the gas holder were 100 kPa? Give a reason for your answer

Explanation / Answer

Actually it is not a problem to skip but a question of last week must be known in order to solve this apart from the previous question.this process is an reversible adiabatic process with gama=1.4

use the formula of work done in a reversible adiabatic process and replace workdone as P*V=80,000Pa*0.3m3=24000J this is your left hand side.now you have the mass term in right hand side relating m,R(universal gas constant),gama(1.4),P1,P2.

Hope you will solve this question and better to go with last weekend problem once.