Thermodynamics: air expansion in a cylinder

In summary, the gas expands reversibly and reaches a final volume of 8 ft^3. The work done by the gas is -∆E = cV (T2-T1) − a (1/v2 − 1/v1).
  • #36
sara lopez said:
sorry, now the temperature 2 = 15304,4 K, isn't high?
1 mole is obviously too few. Try 100 moles.
 
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  • #37
Chestermiller said:
1 mole is obviously too few. Try 100 moles.
n= 100, T2= 15771,3
 
  • #38
Thanks for the help :D
 
  • #39
sara lopez said:
n= 100, T2= 15771,3
How is that possible?
 
  • #40
1 ft^3 = 28.3 liters
1500 psi = 102.0 atm.
n = 100 moles
IDEAL GAS LAW
$$T_1=\frac{PV}{nR}=\frac{(28.3)(102.0)}{(100)(0.0821)}=352 K$$

VAN DER WAAL EQUATION

a=1.344 atm (liters/mole)^2

b=0.0364 (liters/mole)

$$T_1=\frac{(28.3-3.64)(102+(13440)/(28.3^2))}{(100)(0.0821)}=358 K$$
 
  • #41
Chestermiller said:
1 ft^3 = 28.3 liters
1500 psi = 102.0 atm.
n = 100 moles
IDEAL GAS LAW
$$T_1=\frac{PV}{nR}=\frac{(28.3)(102.0)}{(100)(0.0821)}=352 K$$

VAN DER WAAL EQUATION

a=1.344 atm (liters/mole)^2

b=0.0364 (liters/mole)

$$T_1=\frac{(28.3-3.64)(102+(13440)/(28.3^2))}{(100)(0.0821)}=358 K$$
yes, you are right, thanks for the correction
 

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