400cm3 of nitrogen at 30degree celsius is heated at constant pressure to a temperature 50degree celcius.find the new volume of the nitrogen.
answered below
please show me the calculations and the answer.Thank you.
To find the new volume of the nitrogen gas, we can use Charles's Law, which states that the volume of a given amount of gas is directly proportional to its temperature, assuming constant pressure.
We have the initial volume, V₁ = 400 cm³
The initial temperature T₁ = 30 °C = 273 + 30 = 303 K
The final temperature T₂ = 50 °C = 273 + 50 = 323 K
According to Charles's Law:
V₁ / T₁ = V₂ / T₂
Substituting the known values:
400 / 303 = V₂ / 323
Now we can solve for V₂:
V₂ = (400 * 323) / 303
V₂ ≈ 426.40 cm³
Therefore, the new volume of the nitrogen gas, when heated from 30 °C to 50 °C at constant pressure, is approximately 426.40 cm³.