In [4]:

```
Cp=871
Gamma=1.3
Cv=Cp/Gamma
dT=20
m=5
Qp=m*Cp*dT
Qv=m*Cv*dT
print" The heat required at constant pressure is ",Qp/1000,"kj"
print"The heat required at constant volume is ",Qv/1000,"kj"
```

In [1]:

```
T1_Fr=-50
T2_Fr=-40
rou1_Fr=1.546*1000
rou2_Fr=1.518*1000
beta_Fr=-(rou1_Fr-rou2_Fr)/(rou1_Fr*(T1_Fr-T2_Fr))
beta_acc_Fr=2.63e-3 # the accurate value of volumetric thermal expansion coefficient for Freon-12
error_Fr=(beta_acc_Fr-beta_Fr)*100/beta_acc_Fr
T1_He=366
T2_He=477
rou1_He=0.13280
rou2_He=0.10204
beta_He=-(rou1_He-rou2_He)/(rou1_He*(T1_He-T2_He))
print"The volumetric thermal expansion coefficient calculated for Freon-12 is ",round(beta_Fr,6),"1/K"
print"The error introduced in the case of Freon-12 is percent",round(error_Fr,0),"percent"
print"The volumetric thermal expansion coefficient calculated for Freon-12 is ",round(beta_He,6),"1/K"
```

In [ ]:

```
```