Answer:
<u>At 268.82°C</u> volume occupied by nitrogen is 10 liters at pressure of 900 torr.
Explanation:
Given:
Volume of a sample of nitrogen = 5.50 liters
Pressure = 900 torr
Temperature = 25°C
To find the temperature at which the nitrogen will occupy 10 liters volume at same pressure.
Solution:
Since the pressure is kept constant, so we can apply the temperature-volume law also called the Charles Law.
Charles Law states that the volume of a gas held at constant pressure is directly proportional to the temperature of the gas in Kelvin.
Thus, we have :
∝
where is a constant.
For two samples of gases, the law can be given as:
From the data given:
We need to find .
Plugging in values in the formula.
Multiplying both sides by .
Multiplying both sides by
Thus, at 268.82°C volume occupied by nitrogen is 10 liters at pressure of 900 torr.