Question

What is the temperature of an 11.2-L sample of carbon monoxide, CO, at 744 torr if it occupies 13.3 L at 55 °C and 744 torr? 3C The pressure is not changing, so it looks like a case where charles’ law can be use.

Answer 1

Answer: The tempearture of 11.2 L of CO is
`3.0^0C`.

Step-by-step explanation:

To calculate the final volume 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.

are the final volume and temperature of the gas.

We are given:

`V_1=11.2L\\T_1=?\\V_2=13.3L\\T_2=55^0C=(55+273)K=328K`

Putting values in above equation, we get:

`(11.2L)/(T_1)=(13.3L)/(328K)\\\\T_1=276K=(276-273)^0C=3.0^0C`

Thus the tempearture of 11.2 L of CO is
`3.0^0C`, pressure remaining constant.