Question

A 50 L container holds 100 grams of nitrogen gas at a pressure of 45,000 pascals. Calculate the temperature of the nitrogen gas.

Answer 1

• 76K

Step-by-step explanation:

You will need to use the ideal gas equation and the molar mass of the nitrogen gas.

1. Calculate the number of moles of gas, using the molar mass.

• Molar mass of nitrogen gas (N₂): 2 × 14.0067 g/mol = 28.0134g/mol

• number of moles = mass in grams / molar mass

• number of moles = 100g / (28.0134g/mol) = 3.5697 mol

2. Calculate the temperature using the ideal gas equation:

a) Data:

• p = 45,000Pa = 45. kPa
• V = 50 liter
• n = 3.5697 mol (calculated above)
• T = ?
• R = 8.3145 (liter.kPa) / (mol⋅K)

b) Formula and solution

• pV = nRT

• T= (pV)/(nR)

• T = (45. kPa × 50 liter) / (3.5697mol × 8.3145 (liter.kPa)/(mol.K)

• T = 75.8K ≈ 76K