# Question #74b54

##### 1 Answer

The new volume of the ethane gas is 1.87 L.

#### Explanation:

In order to solve this question, we need to use Charles's law which states that the volume of a gas is proportional to its temperature in Kelvin. Mathematically,

Where

**Note:** Please remember that the temperature is in Kelvin scale not in Degree scale.

Now, from the question we have,

Initial Volume of Ethane gas (

Initial Temperature of Ethane gas (

Final Volume of Ethane gas (

Final Temperature of Ethane gas (

Using the Charle's law:

Plug the given values in above laws, we get:

or,

Multiplying both sides by 448 K, we get:

or,

Rearranging,

or,

or,

Therefore, the new volume is **1.87 L** .