Question

Consider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus is immersed in a constant temperature bath of temperature T kelvin. The piston is then pushed slowly so that the pressure of the gas changes quasi-statically from p₁ to p₂ at constant temperature T. Find the work done by the gas in terms of n, R, T, p₁, and p₂.

a. nRTln( p₂/p₂)
b. nRTln( p₁/p₂)
c.nRT/p₁-nRT/p₂
d. nRT/p₂- nRT/p₁
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Answer 1

The work done by the gas in this scenario can be calculated using the formula: Work = nRT * ln(p₂/p₁), where n is the number of moles of the ideal gas, R is the ideal gas constant, T is the temperature in Kelvin, p₁ is the initial pressure of the gas, and p₂ is the final pressure of the gas.

Step-by-step explanation:

The work done by the gas in the given scenario can be determined using the formula:

Work = nRT * ln(p₂/p₁)

where:

• n is the number of moles of the ideal gas
• R is the ideal gas constant
• T is the temperature in Kelvin
• p₁ is the initial pressure of the gas
• p₂ is the final pressure of the gas

By substituting the given values into the formula, you can calculate the work done by the gas.