Question

Cyclopropane, C3H6, is used as a general anesthetic. If a sample of cyclopropane stored in a 2.36-L container at 10.0 atm and 25.0°C is transferred to a 7.79-L container at 5.56 atm, what is the resulting temperature

Answer 1

The resulting temperature : 546.91 K = 273.91 °C

Further explanation

Boyle's law and Gay Lussac's law

`\tt (P_1.V_1)/(T_1)=(P_2.V_2)/(T_2)`

P1 = initial gas pressure (N/m² or Pa)

V1 = initial gas volume (m³)

P2 = final gas pressure

V2 = the final volume of gas

T1 = initial gas temperature (K)

T2 = final gas temperature

P₁=10 atm

V₁=2.36 L

T₁=25+273=298 K

P₂=5.56 atm

V₂=7.79 L

`\tt T_2=(P_2.V_2.T_1)/(P_1.V_1)\\\\T_2=(5.56.* 7.79* 298)/(10* 2.36)\\\\T_2=546.91~K=273.91^oC`