400cm3 of nitrogen at 30degree celsius is heated at constant pressure to a temperature 50degree celcius.find the new volume of the nitrogen.
P1V1/T1=P2V2/T2
as P is constant then
V1/T1=V2/T2
remembering to convert degress C to K
give me answer
To find the new volume of the nitrogen, 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 and amount of gas.
According to Charles's Law, we have the following relationship:
(V1 / T1) = (V2 / T2)
Given:
V1 = 400 cm3 (initial volume of nitrogen)
T1 = 30 °C + 273.15 = 303.15 K (initial temperature of nitrogen)
T2 = 50 °C + 273.15 = 323.15 K (final temperature of nitrogen)
Plugging in the values into the equation, we can calculate the new volume:
(400 cm3 / 303.15 K) = (V2 / 323.15 K)
To find V2, we can rearrange the equation:
V2 = (400 cm3 / 303.15 K) * 323.15 K
Now, let's calculate:
V2 = (400 cm3 / 303.15 K) * 323.15 K
V2 ≈ 425.25 cm3
Therefore, the new volume of nitrogen is approximately 425.25 cm3.
To find the new volume of nitrogen, we can use Charles's Law, which states that the volume of an ideal gas is directly proportional to its temperature (assuming constant pressure).
Let's break down the information given in the question:
Initial volume of nitrogen (V1) = 400 cm^3
Initial temperature of nitrogen (T1) = 30 degrees Celsius
Final temperature of nitrogen (T2) = 50 degrees Celsius
First, we need to convert the given temperatures from Celsius to Kelvin, as temperature in Kelvin is used in gas law calculations:
T1 in Kelvin = T1 + 273.15
T1 in Kelvin = 30 + 273.15 = 303.15 K
T2 in Kelvin = T2 + 273.15
T2 in Kelvin = 50 + 273.15 = 323.15 K
Now let's apply Charles's Law:
V1 / T1 = V2 / T2
Plugging in the known values:
400 cm^3 / 303.15 K = V2 / 323.15 K
To solve for V2 (the new volume), rearrange the equation:
V2 = (400 cm^3 / 303.15 K) * 323.15 K
Calculating:
V2 = (400 / 303.15) * 323.15 cm^3
V2 ≈ 426.63 cm^3
Therefore, the new volume of nitrogen when heated to 50 degrees Celsius at constant pressure is approximately 426.63 cm^3.