If the volume of a gas is "V" at 27°C temperature and
pressure, then what will be its volume at the same pressure
but at 127°C? OR
What will be the
Answers
Answer:
The main thing here is to understand why the gas escapes out. That is actually to maintain pressure. If temperature is raised, the gas molecules start vibrating with higher amplitude, and so they need more space. If the need for more space arises, it means extra pressure has been created. So, to maintain pressure, the gas expands itself. All throughout the solution, ideal gas equation P*V=n*R*T will be used two times.
Let the initial number of moles of gas be n. Let the constant pressure be P and the volume of container be V. So, write the equation for 1 litre gas that escaped at 400 Kelvin (always prefer SI units). Since one fourth of gas is released, n/4 moles of gas occupies 1 litre.
p×l=n/4×R×400=p=100nR
Now that you got the pressure, apply the initial condition. At 300 Kelvin, n moles of gas occupies a volume equal to that of the container, that is, V at the above pressure (since pressure is constant).
You get 100*n*V=n*R*300, that is, volume=3 litres. So, the answer should be 3 litres.
hope it will help you......