Problem 8.51 A 25.7 g sample of nitrogen, N2, has a volume of 50.0 L and a press
ID: 556740 • Letter: P
Question
Problem 8.51 A 25.7 g sample of nitrogen, N2, has a volume of 50.0 L and a pressure of 700. mmHg A) what is the temperature of the gas in kelvins? (Express answer to 3 significant numbers) B) what is the temperature of the gas in degrees celsius? (Express in 3 significant numbers) Problem 8.51 A 25.7 g sample of nitrogen, N2, has a volume of 50.0 L and a pressure of 700. mmHg A) what is the temperature of the gas in kelvins? (Express answer to 3 significant numbers) B) what is the temperature of the gas in degrees celsius? (Express in 3 significant numbers) A 25.7 g sample of nitrogen, N2, has a volume of 50.0 L and a pressure of 700. mmHg A) what is the temperature of the gas in kelvins? (Express answer to 3 significant numbers) B) what is the temperature of the gas in degrees celsius? (Express in 3 significant numbers) A) what is the temperature of the gas in kelvins? (Express answer to 3 significant numbers) B) what is the temperature of the gas in degrees celsius? (Express in 3 significant numbers)Explanation / Answer
PV = nRT
where,
P = pressure = 700 mmHg = 0.921 atm
V = volume = 50.0 L
n = number of moles = 25.7 g/ 28.0134 g/mol = 0.917 mole
R = Gas constant
T = temperature
0.921 * 50.0 = 0.917 * 0.0821 * T
46.05 = 0.0753 * T
T = 46.05 / 0.0753 = 611.6 K
Therefore, temperature in kelvin is 612
B) Temperature in degree celcius is = 612 - 273 = 339 0C
Therefore, temperature in degree celcius is 339 0C