The new volume of the ethane gas is 1.87 L.
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,
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:
Multiplying both sides by 448 K, we get:
Therefore, the new volume is 1.87 L .