Question

The temperature of 24 Iiters of a certain gas is 300 K. If we change the temperature to 400 K, what is the new volume of the gas?

Answer 1

The second volume is 32 L.

Explanation:

This is an example of Charle's law, which states that the volume of a given amount of gas kept at constant pressure will vary directly with the temperature in Kelvins. The equation to use is `V_1/T_1=V_2/T_2`.

Given
`V_1="24 L"`
`T_1="300 K"`
`T_2="400 K"`

Unknown
`V_2`

Solution
Rearrange the equation to isolate `V_2`. Substitute the given values into the equation and solve.

`V_1/T_1=V_2/T_2`

`V_2=(V_1T_2)/T_1`

`V_2=((24"L"xx400cancel"K"))/(300cancel"K")="32 K"`

`V_2="32 L"`