Question

2- A gas has a volume of 500 mL at a temperature of -73.0 °C. What volume will the gas

occupy at 27.0°C?

Answer 1

750mL

Step-by-step explanation:

Charles law states that the volume of a fixed mass of gas is inversely proportional to its temperature, at constant pressure

Mathematically,

V1/T1 = V2/T2

Values given are;

V1=initial volume of the gas=500mL

T1=initial temperature of the gas=-73.0°C=(-73.0+273)K=200K

V2=final volume of gas

T2=final temperature of gas=27.0°C=(27.0+273)K=300K

The volume of the gas at 27°C is unknown.

We'll make V2 subject of the formula

V1/T1=V2/T2

V2=(V1×T2)/T1

V2=(500×300)/200

V2=750mL

Therefore, the gas will occupy a volume of 750mL at 27.0°C

Answer 2

Answer: 750ml

Step-by-step explanation:

Using charle's law

V1/T1=V2/T2

V1= 500ml

T1= -73⁰C

V2= ?

T2=27⁰C

We can see that the temperature is in Celsius

Now,we will convert to Kelvin

Kelvin= 273+ Celsius

So convert the Celsius value to Kelvin

For T1= 273+(-73)

T1= 273-73

T1= 200K

For T2= 273+27

T2= 300K

V1/T1=V2/T2

500/200=V2/300

Cross multiply

200×V2=500×300

200V2= 150000

V2= 150000/200

V2= 750ml

So,

750ml of gas will occupy at 27⁰C