Question

Ethylene, C2H4, is used to make plastic milk bottles. When the volume of 1000 g of ethylene at 25oC is decreased from 40.0 L to 15.0 L, what is the new temperature assuming the pressure is held constant?

Answer 1

Answer: The new temperature will be -161.25°C

Step-by-step explanation:

To calculate the final temperature of the system, we use the equation given by Charles' Law. This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

`(V_1)/(T_1)=(V_2)/(T_2)`

where,

`V_1\text{ and }T_1` are the initial volume and temperature of the gas.

`V_2\text{ and }T_2` are the final volume and temperature of the gas.

We are given:

`V_1=40.0L\\T_1=25^oC=(25+273)K=298K\\V_2=15.0L\\T_2=?`

Putting values in above equation, we get:

`(40.0L)/(298K)=(15.0L)/(T_2)\\\\T_2=(15.0* 298)/(40.0)=111.75K`

Converting the temperature from kelvins to degree Celsius, by using the conversion factor:

`T(K)=T(^oC)+273`

`111.75K=T(^oC)+273\\T(^oC)=-161.25^oC`

Hence, the new temperature will be -161.25°C