7. Be sure to answer all parts.A gas expands in volume from 31.7 mL to 70.3 mL a

Question

7. Be sure to answer all parts.A gas expands in volume from 31.7 mL to 70.3 mL at constant temperature. Calculate the work done (in joules) if the gas expands against a constant pressure of 2.3 atm. Enter your answer in scientific notation.

part 2. A sample of nitrogen gas expands in volume from 1.7 to 5.9 L at constant temperature. Calculate the work done in joules if the gas expands (a) against a vacuum: J (b) against a constant pressure of 0.64 atm: × 10 J Enter your answer in scientific notation. (c) against a constant pressure of 5.7 atm: × 10 J Enter your answer in scientific notation.

Explanation / Answer

remenber ,
work done = -Pext * (Vf-Vi)
Pext is external pressure in atm
Vf and Vi are volume in L

1 atm.L = 101.33 J

1)
work done = -Pext * (Vf-Vi)
= -2.3 atm * (0.0703 L - 0.0317 L )
= -0.08878 atm.L
= - 0.08878 * 101.33 J
    = 8.996 J
Answer: 8.996 J

2)
a)
work done = -Pext * (Vf-Vi)
= -0 atm * (5.9 L - 1.7 L )
= -0 atm.L
    = 0 J
Answer: 0 J

b)
work done = -Pext * (Vf-Vi)
= -0.64 atm * (5.9 L - 1.7 L )
= -2.688 atm.L
= - 2.688 * 101.33 J
    = 272 J
Answer: 2.72*10^2 J

c)

work done = -Pext * (Vf-Vi)
= -5.7 atm * (5.9 L - 1.7 L )
= -23.94 atm.L
= - 23.94 * 101.33 J
    = 2426 J
Answer: 2.43*10^3 J

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