Question

A 25.7 g sample of nitrogen, N2, has a volume of 50.0 L and a pressure of 640. mmHg .What is the temperature of the gas in kelvins?

Answer 1

Answer:

T = 552.632 K

Explanation:

Mass of nitrogen = 25.7 g

Volume = 50 L

Pressure = 640 mmHg (640/760 = 0.84 atm)

Temperature = ?

Solution:

Number of moles of nitrogen:

Number of moles = 25.7 g/ 28 g/mol

Number of moles = 0.92 mol

Temperature:

PV = nRT

T = PV/ nR

T = 0.84 atm × 50 L /0.92 mol ×  0.0821 L. K⁻¹. mol⁻¹. atm

T = 42 atm. L / 0.076  L. K⁻¹.atm

T = 552.632 K