# physics

posted by .

One mole of an ideal gas does 3400 J of work on its surroundings as it expands isothermally to a final pressure of 1.00 atm and volume of 22.0 L.
(a) Determine the initial volume in m^3.

i tried using the formula w=integral f/i pdv
3400J= -(1.00atm)(.022m^3Vf-Vi)
i eneded with 1.55 x10^5 but htis is not the right answer. HELP PLS!

• physics -

Isothermal expansion
W = integral p dv
p = n R T/v, T constant so
W = n R T integral dv/v
W = n R T ln v from v1 to v2
W = n R T ln(v2/v1)
here
n = 1
R = R =.08206 L atm/mol degK or 8.31 J/mol deg K
Need T, use v2
T = p2 v2/nR = 1*22/1*.082
T = 268 deg K
now we want to use Joules and scientific notaton R
V2 = 22 L = 22* 10^-3 m^3
3400 = 1 * 8.31 * 268 ln (22*10^-3/v)
ln(.022/v)= 1.53
.022/v = 4.6
v = .00478 m^3 = 4.78 Liters

## Similar Questions

1. ### chem

If an ideal gas is allowed to expand into a vacuum, this means that the external pressure is 0. This doesn't affect the internal pressure though, correct?
2. ### physics

One mole of an ideal gas does 3400 J of work on its surroundings as it expands isothermally to a final pressure of 1.00 atm and volume of 22.0 L. (a) Determine the initial volume in m^3. i tried using the formula w=integral f/i pdv …
3. ### chemistry

ideal gas .450 mole initial pressure 16 atm and 290 K expands isothermally to a final pressure 1 atm. find work , if expansion is against a vacuum, a constant external pressure of 1 atm and reviersibly
4. ### physics

Hi!could anyone help me please, Thank. Gas in a container is at a pressure of 1.3 atm and a volume of 1.0 m3. (a) What is the work done on the gas if it expands at constant pressure to twice its initial volume?
5. ### physics

An ideal gas with r(Gama) = 1.5 occupies a volume of 2.0 L. The gas expands isothermally to a volume of 3.0 L. Alternatively, the gas reaches the same final state by first adiabatically expanding to the final volume then heating isochorically …
6. ### physics

An ideal gas with r(Gama) = 1.5 occupies a volume of 2.0 L. The gas expands isothermally to a volume of 3.0 L. Alternatively, the gas reaches the same final state by first adiabatically expanding to the final volume then heating isochorically …
7. ### physics

An ideal gas with r(Gama) = 1.5 occupies a volume of 2.0 L. The gas expands isothermally to a volume of 3.0 L. Alternatively, the gas reaches the same final state by first adiabatically expanding to the final volume then heating isochorically …
8. ### Chemistry

A sample of gas occupies a volume of 63.1 mL. As it expands, it does 130.4 J of work on its surroundings at a constant pressure of 783 torr. What is the final volume of the gas?
9. ### Chemistry

1) 0.19 litre of an ideal monatomic gas (Cv,m = 3R/2) initially at 83 °C and 47 atm pressure undergo an expansion against a constant external pressure of 1.19 atm, and do 2.3 kJ of work. The final pressure of the gas is 1.19 atm. …
10. ### science

one mole of an ideal gas is allowed to expand isothermally at 29.3 degree celsius from a volume of 4.0 litres and pressure of 5.0 atm to a volume of 10.0l and pressure of 2.0atm

More Similar Questions