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A monatomic ideal gas with an initial pressure of 500 kPa and an initial volume of 1.80 L expands isothermally to a final volume of 5.20 L. How much work is done on the gas in this process? A) 1700J B)
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A monatomic ideal gas with an initial pressure of 500 kPa and an initial volume of 1.80 L expands isothermally to a final volume of 5.20 L. How much work is done on the gas in this process?

A) 1700J
B) 875J
C) 1570J
D) 900J
E) 955J

User Shaktisinh Jadeja
by
4.8k points

1 Answer

5 votes

Answer:

955 J

Step-by-step explanation:

PV = nRT

500 x 10³ x 1.8 x 10⁻³ = nRT

= 900 J

work done by gas in isothermal expansion

= nRT lnV₂ / V₁

= 900 ln 5.2 / 1.8

= 900 x ln 2.89

= 900 x 1.06

= 955 J

User OCJP
by
5.3k points
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